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Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 1
01. INTRODUCTION
Analysis is considered to determine identity, strength, quality & purity of the drug
samples, synthetic intermediates and the final drug product, in pharmaceutical
industry. Hence analysis plays an important role right from the testing of raw
material, the in process control of every step to the final analysis of each batch of
finished drug product 1-2
.Analytical chemistry is always concerned with solubility
of drug. For analysis i.e identification of substances, the elucidation of its
structure and quantitative analysis of its composition for poorly soluble drug is a
very much challenging. Solubilisation of poorly soluble drugs is a frequently
encountered challenge in screening studies of new chemical entities as well as in
formulation design and development3, 4
. A number of methodologies can be
adapted to improve solubilisation of poor water soluble drug and further to
improve its bioavailability. Orally administered drugs completely absorb only
when they show fair solubility in gastric medium and such drugs shows good
bioavailability. Bioavailability depends on several factors, drug solubility in an
aqueous environment and drug permeability through lipophilic membranes being
the important ones5.
Solubilized drug molecules only can be absorbed by the cellular membranes to
subsequently reach the site of drug action (vascular system for instance). Any
drug to be absorbed must be present in the form of an aqueous solution at the site
of absorption6, 7
.
Therefore, the improvement of drug solubility thereby its oral bio-availability
remains one of most challenging aspects of drug development process especially
for oral drug delivery system. These in vivo and in vitro characteristics and the
difficulties in achieving predictable and reproducible in vivo/in vitro correlations
are often sufficiently difficult to develop formulation on many newly synthesized
compounds due to solubility issues8, 9
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 2
Pharmaceutical companies have been able to overcome difficulties with very
slightly soluble drugs, those with aqueous solubility of less than 0.1 mg/ml by
using solubility enhancement techniques. There are numerous approaches
available and reported in literature to enhance the solubility of poorly-water
soluble drug. The techniques are chosen on the basis of certain aspects such as
properties of drug under consideration, nature of excipients to be selected and
nature of intended dosage form. The techniques generally employed for
solubilisation of drug include, chemical modification, pH adjustment, solid
dispersion, complexation, co-solvency, micellar solubilisation, hydrotropy etc.
Pharmaceutical analysis utilized hydrotropy technique to increase the water
solubility of poorly water soluble drug molecule to preclude the use of organic
and costlier solvent.
1. SOLUBILITY
The term „solubility‟ is defined as maximum amount of solute that can be
dissolved in a given amount of solvent. Quantitatively it is defined as the
concentration of the solute in a saturated solution at a certain temperature. In
qualitative terms, solubility may be defined as the spontaneous interaction of two
or more substances to form a homogenous molecular dispersion. A saturated
solution is one in which the solute is in equilibrium with the solvent10-12
. The
solubility of a drug may express as Parts, Percentage, Molarity, Molality, Volume
fraction and Mole fraction13
.
As per IP solubility has been expressed as14
:
Table 1.1: Expression of Solubility
Definition Parts of Solvent Required
for One Part of Solute
Very soluble < 1
Freely soluble 1 - 10
Soluble 10 - 30
Sparingly soluble 30 - 100
Slightly soluble 100 - 1000
Very slightly soluble 1000 - 10,000
Insoluble > 10,000
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 3
1.1 Process of Solubilisation
The process of solubilisation involves the breaking of inter-ionic or
intermolecular bonds in the solute, the separation of the molecules of the solvent
which provide space in the solvent for the solute and then interaction between the
solvent and the solute molecule or ion occours10
.
Figure 1.1 Process of Solubilisation
1.2 Factors Affecting Solubility:-
The solubility depends on the physical form of the solid, the nature and
composition of solvent medium as well as temperature and pressure of system15
.
A. Particle size
The size of the solid particle influences the solubility because as a particle
becomes smaller, the surface area to volume ratio increases. The larger surface
area allows a greater interaction with the solvent. The effect of particle size on
solubility can be described by
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 4
Where,
S0 is the solubility of infinitely large particles
S is the solubility of fine particles
V is molar volume
g is the surface tension of the solid
r is the radius of the fine particle
B. Temperature
Temperature will affect solubility. If the solution process absorbs energy then the
solubility will be increased as the temperature is increased. If the solution process
releases energy then the solubility will decrease with increasing temperature.
Generally, an increase in the temperature of the solution increases the solubility of
a solid solute. A few solid solutes are less soluble in warm solutions. For all gases,
solubility decreases as the temperature of the solution increases16
.
C. Pressure
For gaseous solutes, an increase in pressure increases solubility and a decrease in
pressure decrease the solubility. For solids and liquid solutes, changes in pressure
have practically no effect on solubility 16
.
D. Nature of the solute and solvent
1 gram of lead (II) chloride can be dissolved in 100 grams of water at room
temperature where 200 grams of zinc chloride can be dissolved in same condition.
The great difference in the solubility‟s of these two substances is the result of
differences in their natures16
.
E. Molecular size
Molecular size will affect the solubility. The larger the molecule or the higher its
molecular weight the less soluble the substance. Larger molecules are more
difficult to surround with solvent molecules in order to solvate the substance. In
the case of organic compounds the amount of carbon branching will increase the
solubility since more branching will reduce the size (or volume) of the molecule
and make it easier to solvate the molecules with solvent17
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 5
F. Polarity
Polarity of the solute and solvent molecules will affect the solubility. Generally
non-polar solute molecules will dissolve in non-polar solvents and polar solute
molecules will dissolve in polar solvents. The polar solute molecules have a
positive and a negative end to the molecule. If the solvent molecule is also polar
then positive ends of solvent molecules will attract negative ends of solute
molecules. This is a type of intermolecular force known as dipole-dipole
interaction. All molecules also have a type of intermolecular force much weaker
than the other forces called london dispersion forces where the positive nuclei of
the atoms of the solute molecule will attract the negative electrons of the atoms of
a solvent molecule. This gives the non-polar solvent a chance to solvate the solute
molecules17
.
G. Polymorphs
A solid has a rigid form and a definite shape. The shape or habit of a crystal of a
given substance may vary but the angles between the faces are always constant. A
crystal is made up of atoms, ions, or molecules in a regular geometric
arrangement or lattice constantly repeated in three dimensions. This repeating
pattern is known as the unit cell. The capacity for a substance to crystallize in
more than one crystalline form is polymorphism. It is possible that all crystals can
crystallize in different forms or polymorphs. If the change from one polymorph to
another is reversible, the process is called enantiotropic. If the system is
monotropic, there is a transition point above the melting points of both
polymorphs. The two polymorphs cannot be converted from one another without
undergoing a phase transition. Polymorphs can vary in melting point. Since the
melting point of the solid is related to solubility, so polymorphs will have
different solubilities. Generally the range of solubility differences between
different polymorphs is only 2-3 folds due to relatively small differences in free
energy18
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 6
1. 3 Techniques of Solubility Enhancement
There are various techniques available to improve the solubility of poorly soluble
drugs. Some of the approaches to improve the solubility are19
:
I. Physical Modifications
A. Particle size reduction
a. Micronization
b. Nanosuspension
c. Other techniques
B. Modification of the crystal habit
a. Polymorphs
b. Pseudopolymorphs
C. Drug dispersion in carriers
a. Eutectic mixtures
b. Solid dispersions
c. Solid solutions
D. Complexation
a. Use of complexing agents
E. Solubilization by surfactants:
a. Microemulsions
b. Self micro emulsifying drug delivery systems
II. Chemical Modifications
III. Other Techniques
A. Co-crystallization
B. Co-solvency
C. Hydrotropy
D. Solubilizing agents
E. Nanotechnology approaches
The approaches mentioned have been used widely in fields of pharmacy.
However, applications of hydrotropic solubilization have not been explored to
appreciable extent in various fields of pharmacy.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 7
2. HYDROTROPY
The term "hydrotropy" has been used to designate the increase in solubility of
various substances due to the presence of large amounts of additives. Hydrotropy
is a solubilization process whereby addition of large amounts of a second solute
results in an increase in the aqueous solubility of another solute.
Hydrotropic agents are ionic organic salts. Additives or salts that increase
solubility in given solvent are said to “salt in” the solute and those salts that
decrease solubility “salt out” the solute. Several salts with large anions or cations
that are themselves very soluble in water result in “salting in” of non-electrolytes
called “hydrotropic salts” a phenomenon known as “Hydrotropism”13
. Increasing
the aqueous solubility of insoluble and slightly soluble drugs is of major
importance. Various techniques have been employed to enhance the aqueous
solubility of poorly water soluble drugs. Hydrotropic solubilization is one of
them.
In the hydrotropic solubilization phenomenon, addition of large amount of second
solute results in an increase in the aqueous solubility of another solute.
Concentrated aqueous hydrotropic solutions of urea, nicotinamide, sodium
benzoate, sodium salicylate, sodium acetate and sodium citrate have been
observed to enhance the aqueous solubility of poorly water soluble drugs. The
class of compounds that normally increase the aqueous solubility of sparingly-
soluble solutes is called hydrotropes.
A hydrotrope is a compound that solubilises hydrophobic compounds in aqueous
solutions. Typically, hydrotropes consist of a hydrophilic part and a hydrophobic
part (like surfactants) but the hydrophobic part is generally too small to cause
spontaneous self-aggregation. The hydrotropes are a special class of compounds
that exhibit distinct solution properties. They may self associate in aqueous
medium, comparable to amphiphile self-association or micellization. They are
efficient solubilizers and can influence the formation of micelle and micro
emulsion20
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 8
2.1. History of Hydrotropy and Basic Structure of Hydrotropic Agent
Winsor et al. speculated that hydrotropy is simply another type of solubilization
with the solute dissolved in oriented clusters of the hydrotropic agents. Some
workers proposed that this phenomenon is more closely related to complexation
with a weak interaction existing between the hydrotropic agent and the solute.
The characteristic that hydrotropic agents share is the ability of self association in
the aqueous solution, particularly at hydrotropic concentration more than 1 M21
.
Hydrotropy is the term originally put forward by Neuberg to describe the increase
in the solubility of a solute by the addition of fairly high concentrations of alkali
metal salts of various organic acids. However, the term has been used in the
literature to designate non-micelle-forming substances, either liquids or solids,
organic or inorganic, capable of solubilizing insoluble compounds. Hydrotropic
solubilization process involves cooperative intermolecular interaction with several
balancing molecular forces, rather than either a specific complexation event or a
process dominated by a medium effect, such as co-solvency or salting-in.
Neuberg’s postulated the chemical structure of the conventional hydrotropic salts
(proto-type, sodium benzoate) consists generally of two essential parts, an anionic
group and a hydrophobic aromatic ring or ring system. The anionic group is
obviously involved in bringing about high aqueous solubility, which is a
prerequisite for a hydrotropic substance. The type of anion or metal ion appeared
to have a minor effect on the phenomenon 22
.
Saleh and El-Khordagui suggested that the phenomenon of hydrotropy is not
confined to the metal salts of organic acids, certain cationic salts and neutral
molecules may be equally involved. They used procaine HCl, PABA HCl and
cinchocaine HCl as cationic salts and resorcinol and pyrogallol as neutral
molecules in their studies 23
.
Rasool et al showed that the aromaticity (Л-system) of the pyridine ring which
might promote the stacking of molecules through its planarity was an important
factor in complexation because the aromatic amide ligands enhanced the aqueous
solubility of the test drug to a greater extent than the aliphatic amide ligands24
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 9
On the other hand, planarity of the hydrophobic part has been emphasized as an
important factor in the mechanism of hydrotropic solubilization. This should
imply that hydrotropic agents are molecules having a planar hydrophobic
structure brought into solution by a polar group. Hence, it seems rational to
propose that molecules with a planar hydrophobic part and a polar group, which is
not necessarily anionic, can act as hydrotropic agents.
Gaikar et al investigated whether a drug with an amphiphillic structure can
exhibit hydrotropic properties. They sought to establish sodium ibuprofen as an
effective hydrotrope 25
.
Suzuki et al measured the aqueous solubility of nifedipine in presence of
nicotinamide, urea, and their analogues and concluded that the significant
contributor to the hydrotropic solubilization of nifedipine with nicotinamide was
therefore the ligand hydrophobicity rather than the aromaticity of the pyridine
ring 26
.
2.2 Commonly Used Hydrotropes
The hydrotropes are known to self-assemble in solution. The classification of
hydrotropes on the basis of molecular structure is difficult, since a wide variety of
compounds have been reported to exhibit hydrotropic behaviour. Specific
examples may include ethanol, aromatic alcohols like resorcinol, pyrogallol,
catechol, a- and b-naphthols and salicylates, alkaloids like caffeine and nicotine,
ionic surfactants like diacids, SDS (sodium dodecyl sulphate) and dodecylated
oxidibenzene. The aromatic hydrotropes with anionic head groups are mostly
studied compounds. They are large in number because of isomerism and their
effective hydrotrope action may be due to the availability of interactive pi-
orbitals. Hydrotropes with cationic hydrophilic group are rare, e.g. salts of
aromatic amines, such as procaine hydrochloride. Besides enhancing the
solubilization of compounds in water, they are known to exhibit influences on
surfactant aggregation leading to micelle formation, phase manifestation of
multicomponent systems with reference to nanodispersions and conductance
percolation, clouding of surfactants and polymers, etc27, 28
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 10
Each hydrotropic agent is effective in increasing the water solubility of selected
hydrophobic drugs. No universal hydrotropic agent has been found effective to
solubilize all hydrophobic drugs. Thus finding the right hydrotropic agent for a
poorly water-soluble drug requires screening of large number of candidate
hydrotropes. However, once the effective hydrotropic agent is identified for a
series of structurally different drugs, the structure activity relationship can be
established.
Various investigated done to check the effect of various hydrotropes such as
sodium benzoate, sodium salicylate and piperzine on the solubility of nimesulide.
The solubility enhancement of nimesulide by the hydrotropes observed in
decreasing order as piperazine>sodium ascorbate> sodium salicylate> sodium
benzoate> nicotinamide. Parenteral formulations using piperazine as a hydrotrope
were developed and studied for physical and chemical stability29
.
Jain et al. investigated the effect of various hydrotropes such as urea,
nicotinamide, resorcinol, sodium benzoate, sodium p-hydroxy benzoate on the
solubility of indomethacin. The solubility enhancement of indomethacin by the
hydrotropes was observed in decreasing order as sodium p-hydroxyl benzoate>
sodium benzoate> nicotinamide> resorcinol> urea. Aqueous injectable
formulations using sodium p-hydroxyl benzoate, sodium benzoate and
nicotinamide as hydrotropes were developed and studied for physical and
chemical stability30
.
2.3 Mechanism of Hydrotrope Action
A hydrotrope is a compound that solubilises hydrophobic compounds in aqueous
solutions. Typically, hydrotropes consist of a hydrophilic part and a hydrophobic
part (like surfactants) but the hydrophobic part is generally too small to cause
spontaneous self-aggregation. Hydrotropes do not have a critical concentration
above which self-aggregation, 'suddenly' starts to occur (as found in micelle and
vesicle-forming surfactants, which have a critical micelle concentration and a
critical vesicle concentration or cvc, respectively). Instead, some hydrotropes
aggregate in a step-wise self-aggregation process, gradually increasing
aggregation size.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 11
However, many hydrotropes do not seem to self-aggregate at all, unless a
solubilisate has been added. Badwan et al studied the solubility of benzodiazepine
in sodium salicylate solution. It was suggested that molecular aggregation takes
place and benzodiazepine molecule were induced in these aggregates. A donor
acceptor type of interaction between sodium salicylate and benzodiazepine
molecules is assumed to stabilize such inclusions and determined the degree of
solubility31
.
Hydrotropes are used in detergent formulations to allow more concentrated
formulations of surfactants. Examples of hydrotropes include sodium p-
toluenesulfonate and sodium xylene sulfonate.
Poochikian et al studied the solubilization of chartreusin by hydroxybenzoate.
Plane to plane orientation of ligand molecules and chartreusin brought together by
electrostatic and hydrophobic interactions was suggested as possible
mechanism32
.
Jain et al investigated the solubilization of ketoprofen, by means of various
physiologically active hydrotropic agents. In order to gain an insight into probable
mechanism of solubilization, solubility, spectral, typical properties of
hydrotropes, solution properties, gel formation, paste formation, TLC and IR
spectral studies were carried out with structural variation in hydrotropes. The
results indicated that the enhanced solubility of ketoprofen in presence of
hydrotropes in low concentration is due to weak ionic interaction. At higher
concentration, the formation of molecular aggregates seemed to be the possible
mechanism of hydrotropic solubilization33
.
Rawat et al studied the effects of various hydrotropes such as nicotinamide,
sodium benzoate, sodium salicylate in the solubility of rofecoxib, celecoxib and
meloxicam, and were investigated to gain an insight into the mechanism of
solubilization. The results indicated that the enhanced solubility of these drugs in
the presence of hydrotropes in low concentration is due to weak ionic interaction.
At high hydrotropic concentration the formation of molecular aggregation seems
to be the possible mechanism of solubilization34
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 12
Coffman et al studied the effect of nicotinamide and urea on the solubility of
riboflavin in various solvents. Their study examined the mechanism of
hydrotropic solubilization. The most commonly proposed mechanism for
hydrotropic solubilization is complexation35
.
2.4 Mixed Hydrotropy
Mixed hydrotropy is a synergistic effect on enhancement in solubility of a poorly
water-soluble drug by mixing two hydrotropic agents. Maheshwari et al and
Jain et al was employed urea, sodium citrate and other mixed hydrotropic blend
to solubilize a poorly- water soluble drug, to carryout spectrophotometric analysis
precluding the use of organic solvents36
.
2.5 Advantages of Hydrotropic Solubilization Technique
1. It precludes the use of organic solvents and thus avoids the problem of
residual toxicity, error due to volatility, pollution, cost etc.
2. It is new, simple, cost-effective, safe, accurate, precise and environmental
friendly method for the analysis (titrimetric and spectrophotometric) of poorly
water-soluble drugs by titrimetric and spectrophotometrically precluding the
use of organic solvents.
3. It only requires mixing the drug with the hydrotrope in water.
4. Hydrotropy is suggested to be superior to other solubilization method, such as
miscibility, micellar solubilization, cosolvency and salting in, because the
solvent character is independent of pH, has high selectivity and does not
require emulsification.
5. It does not require chemical modification of hydrophobic drugs, use of organic
solvents, or preparation of emulsion system.
6. Mixed hydrotropy reduce the large total concentration of hydrotropic agents
necessary to produce modest increase in solubility by employing combination
of agents in lower concentration.
2.6 Pharmaceutical Applications of Hydrotropic Agents
1. Quantitative estimations of poorly water-soluble drugs by uv-visible
spectrophotometric analysis precluding the use of organic solvents37
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 13
2. Quantitative estimations of poorly water-soluble drugs by titrimetric
analysis.
3. Preparation of hydrotropic solid dispersions of poorly water-soluble drugs
precluding the use of organic solvents.
4. Preparation of ready to use syrups of poorly water-soluble drugs.
5. Preparation of dry syrups (for reconstitution) of poorly water-soluble drugs.
6. Preparation of topical solutions of poorly water-soluble drugs, precluding
the use of organic solvents.
7. Prepration of injection of poorly water soluble drugs38, 39
.
8. The use of hydrotropic solubilizers as permeation enhancers.
9. The use of hydrotropy to give fast release of poorly water-soluble drugs
from the suppositories.
10. Application of mixed-hydrotropy to develop injection dosage forms of
poorly water-soluble.
11. Application of hydrotropic solubilization in nanotechnology (by controlled
precipitation
12. Application of hydrotropic solubilization in extraction of active
constituents from crude drugs.
Table 1.2: Hydrotropic Solubilization Studies of Various Poorly Water-
Soluble Drugs
Sr.
No.
Drugs Hydrotropic Agent with Working λ Ref.
No.
1 Cefixime 8 M Urea, 4 M Sodium acetate and 1.25 M
Sodium citrate) 40
2 Hydrochlorothiazide 10 M Urea 41
3 Hydrochlorothiazide
and Indomethacin
2 M Sodium benzoate 42
4 Ketoprofen 4 M Sodium aetate 43
5 Tinidazole 8 M Urea, 4 M Sodium acetate and 1.25 M
Sodium citrate 44
6 Ofloxacin 2 M Sodium benzoate 45
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 14
7 Norfloxacin & Tinidazole 8 M Urea 46
8 Cephalexin 8 M Urea 47
9 Metronidazolem, Nalidixic
acid, Norfloxacin,
Tinidazole
2 M Sodium benzoate and 2 M
Niacinamide 48
10 Amoxycillin 10 M Urea 49
11 Paracetamol 10 M Urea 50
12 Piroxicam 2 M Sodium benzoate 51
13 Frusemide 2 M Sodium benzoate 52
14 Norfloxacin 8 M Urea 53
15 Diclofenac sodium 8 M Urea 54
16 Gatifloxacin 2 M Sod. Benz. and 1.5 M Metformin 55
17 Amoxicillin 5 M Potassium acetate 56
18 Cefixime 8 M Pot. acetate & 6 M Amm.acetate 57
19 Cefixime 0.5 M Potassium citrate 58
20 Aceclofenac 22.5%w/v Urea and 22.5% w/v Sod. citrate 59
21 Famotidine 1.5 M Metformin HCl 60
22 Hydrochlorothiazide 2 M Niacinamide 61
23 Cefixime trihydrate 0.5 M Metformin Hydrochloride 62
24 Hydrochlorothiazide 20 % Chlorpheniramine Maleate 63
25 Hydrochlorothiazide 1M Lignocaine hydrochloride 64
26 Metronidazole &
Norfloxacin
8 M Urea solution 65
27 Naproxen 2 M Sodium benzoate 66
28 Naproxen 0.5 M Ibuprofen solution 67
30 Chartreusin Sodium benzoate, Sodium p- hydroxyl
benzoate, Sodium m-hydroxybenzoate,
Sodium o-hydroxy benzoate, Sodium 2,4-
dihydroxybenzoate, Sodium 2,5 dihydroxy
benzoate.
32
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 15
31 Theophylline,
Hydrocortisone,
Prednisolone, Phenacetin
Sodium benzoate, Sodium o-hydroxy
benzoate, Sodium m-hydroxybenzoate,
Sodium p-hydroxybenzoate, Sodium 2,4-
dihydroxy benzoate, Sodium 2,5-
dihydroxybenzoate, Sodium 2,6-
dihydroxybenzoate, Sodium 3,4-
dihydroxybenzoate, Sodium 3,5-
dihydroxybenzoate, Sodium 3,4,5 –
trihydroxybenzoate
68
32 Nimuselide Sodium salicylate 69
33 Valsartan effect of ethyl alcohol,
propylene glycol and pH 70
34 Riboflavin Nicotinamide 71
35 Ketoprofen Sodium benzoate, Sodium o-hydroxy
benzoate, Nicotinamide, Sodium m-
hydroxy benzoate, Sodium ascorbate,
Sodium 2,5-dihydroxybenzoate
33,
72
36 Piroxicam Nicotinamide, Sodium ascorbate, Sodium
benzoate, Sodium o-hydroxybenzoate,
Sodium m-hydroxybenzoate, Sodium 2,5-
dihydroxybenzoate
73,
74
37 Etoposide Sodium benzoate, Sodium salicylate,
Sodium gentisate, Sodium m-hydroxy
benzoate, Sodium p-hydroxybenzoate,
Sodium 2,4-dihydroxybenzoate, Sodium
2,6-dihydroxy benzoate, Sodium 2,4,6-
trihydroxybenzoate
75
38 Saquinavir Nicotinamide, Ascorbic acid, Dimethyl
Urea, 76
39 Glimeperide Benzoic acid, Ascorbic acid, Citric acid 23
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 16
40 Progesterone,
Testosterone,
17- Estradiol,
Diazepam and
Griseofulvin
Nicotinamide, Isonicotinamide,
Nipecotamide, N-methylnicotinamide,
N, N-dimethylnicotinamide 24
41 Salicylamide,
Acetaminophen
Pheniramine maleate,
Chlorpheniramine maleate,
Brompheniramine maleate
77
42 Carbamazepine Sodium salicylate, Sodium benzoate 78
43 Nimesulide Sodium ascorbate,
Sodium salicylate,
Sodium benzoate,
Nicotinamide
29
44 Norfloxacin Ascrobic acid 79
45 Albendazole Sodium salicylate,
Sodium benzoate,
Nicotinamide,
Sodium ascorbate
80
46 Rofecoxib,
Celecoxib,
Meloxicam
Sodium salicylate,
Sodium benzoate,
Nicotinamide
81
3. ANALYTICAL METHOD
There is a need of a sensitive, accurate, precise analytical method for
determination of concentration of drug in the bulk drug as well as in the dosage
formulation. With the rapid development of pharmaceuticals and higher
challenges of quality, the volume of analytical work is increasing day by day. This
force to development of analytical methods, that are rapid, accurate, precise and
reproducible82, 83
.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 17
3.1 Type of Analytical Methods82
I. Qualitative Methods
II. Quantitative methods
I. Qualitative Methods : It refers identify of the product i.e., it yields useful
clues from which the molecular or aromatic species, the structural feature, or
the functional groups in the samples can be deduced.
II. Quantitative: It refers purity of the product, i.e. the results are in the form of
numerical data corresponding to the concentration of analytes. In the
analysis, the required information is obtained by measuring a physical
property that is characteristically related to the component of interest (the
analyte). In the present age, the physical, chemical and biological analysis,
involve computerized techniques to facilitate better results.
3.2 Types of Chemical Analysis
1. Classical Method
A. Titrimetric methods
(a). Acidimetry and Alkalimetry
(b). Redox titration
(c). Precipitation titration
B. Gravimetric method
2. Instrumental Methods
A. Spectroscopic Methods
(a). Ultraviolet and visible spectroscopy
(b). Infra-red spectroscopy
(c). Raman spectroscopy
(d). Atomic absorption spectroscopy
(e). X-ray diffraction
(f). X-ray fluorescence
(g). Fluorometry and phosphorimetry
(h). Nephelometry and Turbidimetry
(i). Mass spectroscopy
(j). Nuclear magnetic resonance spectroscopy
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 18
B. Electrochemical method
(a). Potentiometry
(b). Polarography
(c). Amperometric methods
(e). Coulometry method
(f). Conductance techniques
C. Chromatographic method
(a). Gas chromatography
(b). Liquid chromatography (HPLC)
(c). High-performance thin layer chromatography (HPTLC)
(d). Paper chromatography
D. Miscellaneous Method
(a). Thermal analysis
(b). Refractrometry method
(c). Polarimetry method.
3.3 Advantages of Instrumental Methods
Highly sensitive
Measurements are reliable
Determination is very fast
Easy to handle complex samples
Small quantity of samples can be used
3.4 Limitations of Instrumental Methods
Initial and continuous calibration is required
Sensitivity and accuracy depends upon the instrument or the chemical
methods.
High cost of equipment
Limited concentration range
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 19
4. SPECTROSCOPY 82-84
Spectroscopy is the branch of science dealing with the study of interaction of
electromagnetic radiation with matter. The most important consequence of such
interaction is that energy is absorbed or emitted by the matter in discrete amounts
called quanta. A number of analytical methods both qualitative and quantitative
involve the interaction of radiant energy with matter. Two important experimental
parameters are
The energy of radiation absorbed or emitted by the system
Intensity of spectral lines
4.1 Theory of Spectroscopy
1. Intensity of emergent light (It) = Intensity of incident light (Io), therefore no
absorption of energy takes place, i.e. I t = Io, no change in energy takes place
and hence no information about the molecule can be derived.
2. Reflection. Refraction or scattering. (Scattering of light by particles) where
some studies like nephlometry or turbidimetry are being made.
3. Intensity of emergent light < Intensity of incident light, where there is
absorption of energy takes place and some information about the molecule can
be derived.
4.2 Principle of Ultraviolet Spectroscopy
The wavelength range of UV radiation starts at the blue end of visible light 400
nm to 200 nm. The UV region is subdivided into two spectral regions.
The region between 200 nm-400 nm is known as near UV region
The region below 200 nm is called the far or vacuum UV region.
The UV radiation has sufficient energy to excite valence electrons in many atoms
or molecules consequently UV is involved with electronic excitation. The UV
absorption spectra arise from transition of electron or electrons within a molecule
or an ion from a lower to a higher electronic level and UV emission spectra arise
from the reverse type of transition. For radiation to cause electronic excitation, it
must be in the UV region of the electromagnetic spectrum.
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Suresh Gyan Vihar University, Jaipur 20
4.3 Laws of Absorption
a. Lambert’s law:
When a beam of monochromatic radiation passes through a homogeneous
absorbing medium, the rate of dicrease of intensity of radiation with thickness of
absorbing medium is proportional to the intensity of the incident radiation.
Mathematically, the law is expressed as
di
- = KI ---------------------------------------1
dx
Where I = intensity of radiation after passing through as thickness of the
medium.
di = infinitesimally small decrease in the intensity of radiation on passing through
infinitesimally small thickness dx of the medium di / dx = rate of decrease of
radiation with thickness of the absorbing medium k = proportionality constant or
absorption coefficient. Its value depends upon the nature of the absorbing
medium.
Let Io be the intensity of radiation before entering the absorbing medium (x= 0).
Then I, the intensity of radiation after passing through any thickness, say x of the
medium can be calculated as
I x = x
dI
I ---------------------2
Io x =o
Or In I ---------------------3
Io
Or I ---------------------4
Io
I = I0e-Kx
---------------------5
The intensity of the radiation absorbed, Iabs is given by
Iabs = Io – I = Io (1-e-kx
) ---------------------6
The above Lambert‟s law equation can also be written by changing the natural
logarithm to the base 10
I = Io 10-ax
---------------------7
Where a = excitation coefficient of the absorbing medium. a = K/ 2.303
= kdx
= -Kx
= e
-Kx
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Suresh Gyan Vihar University, Jaipur 21
b. Beers’ Law
This law stats that when a beam of monochromatic radiation is passes through a
solution of an absorbing substance, the rate of decrease of intensity of radiation
with thickness of the absorbing solution is proportional to the intensity of the
incident radiation as well as concentration of the solution.
Mathematically this law stated as –
dI
dx ----------------------1
Where C = conc. of the solution in moles litre-1
k1 = molar absorption coefficient and its value depends the nature of the substance
suppose Io be the intensity of the radiation before entering the absorbing solution.
(When x=a), I after passing through the thickness x, of the medium can be
calculated:
I x = x
dI -------------------2
Io
x=o
Or I = Ioe-k1cx ---------------------- 3
The above equation can written by changing the natural logarithm to the base 10
Here K1 = a
1
2.303
Where a1 = molecular extinction coefficient of the absorbing medium
5. QUANTITATIVE SPECTROPHOTOMETRIC ASSAY OF MEDICINAL
SUBSTANCE
The assay of an absorbing substance may be quickly carried out by preparing a
wavelength. The wavelength normally selected is a wavelength of maximum
absorption (max) where small errors in setting the wavelength scale have little
effect on the measured absorbance. Ideally, the concentration should be adjusted
to give an absorbance of approximately from 0.9, around which the accuracy and
precision of the measurement are optimal. The preferred method is to read the
absorbance from the instrument display under non-scanning condition, i.e., with
the monochromator set at the analytical wavelength.
- = K
1IC
= - k\cdx
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Suresh Gyan Vihar University, Jaipur 22
5.1 Use of a Standard Absorptivities Value
The procedure is adopted by official compendia, e.g. British Pharmacopoeia, for
stable substance such as methyl testosterone that have reasonably broad
absorption bands and which are practically unaffected by variation of instrumental
parameters, e.g. slit width, scan speed .The use of standard A (1%, 1cm) or
value avoids the need to prepare a standard solution of the reference substance in
order to determine its absorptivity, and is of advantage in situations where it is
difficult or expensive to obtain a sample of the reference substance.
5.2 Use of a Calibration Graph
In this procedure the absorbance of a number (typically 4-6) of standard solutions
of the reference substance at concentration encompassing the sample
concentration are measured and a calibration graph is constructed, The
concentration of the analyte in sample solution is read from the graph as the
concentration corresponding to the absorbance of the solution.
5.3 Single-or Double Point Standardization
The single-point procedure involves the measurement of the absorbance of a
sample solution and standard solution of the reference substance, the standard and
sample solution is prepared in a similar manner; ideally, the concentration of the
standard solution should be close to that of the sample solution. The concentration
of the substance in the sample is calculated from the proportional relationship that
exists between absorbance and concentration.
Ctest = A test x Cstd (single point calculation)
A std
Where Ctest and Cstd are the concentration of the sample and standard solution
respectively, and Atest and Astd are the absorbance of the sample and standard
solution respectively.
Ctest = (Atest – Astd1) (Cstd1 – Cstd2) + Cstd1 (Astd1 – Astd2) (Double point)
Astd1 - Astd2
Where, the subscripts std.1 and std. 2 refers to the more concentrated standard and
less concentrated standard respectively.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 23
5.4 Assay of Substance in Multicomponent Sample
The spectrophotometric assay of drugs rarely involves the measurement of
absorbance of samples containing only one absorbing component. The
pharmaceutical analyst frequently encounters the situation where the
concentration of one or more substance is required in samples known to contain
other absorbing substances, which potentially interfere in the assay. If the recipe
of the sample formulation is available to the analyst, the identity and
concentration of the interferents are known, the extent of interference in the assay
may be determined. Alternatively interference, which is difficult to quantify, may
arise in the analysis of formulation from manufacturing impurities, decomposition
products and formulation excipients. Unwanted absorption from these sources is
termed irrelevant absorption and if not removed, imparts a systematic error to the
assay of the drug in the sample. A number of modifications to the simple
spectrophotometric procedure described above for single-component samples is
available to the analyst, which may eliminate certain sources of interference and
permit the accurate determination of one of the absorbing component. Each
modification of the basic procedure may be applied if certain criteria are satisfied.
5.5 Assays as Single-Component Sample
The concentration of a component in a sample which contains other absorbing
substance may be determined by a simple spectrophotometric measurement of
absorbance as described above, provided that the other component have a
sufficiently small absorbance at the wavelength of measurement. This condition
is satisfied if the concentration of the interfering substances and their absorptivity
or the path length of the solution is sufficiently small that their product (i.e. the
absorbance) can be ignored. A systematic error of less than 1% would normally
be considered to be acceptable. For example, if the contribution to a total
absorbance of 1.00 from the interferents is less than 0.01 and if there is no
chemical interaction between the components. The sample may be analysed for
its principal absorbing component by a simple direct measurement of absorbance
at its max.
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Suresh Gyan Vihar University, Jaipur 24
5.6 Assay Using Absorbance Corrected for Interference
If the interference from other absorbing substance is large or if its contribution to
the total absorbance cannot be calculated, it may be possible to separate the
absorbing interferents from the analyte by solvent extraction procedures. The
judicious choice of pH of the aqueous medium and of immiscible solvent may be
affect the complete separation of the interferents from the analyte, the
concentration of which may be obtained by a simple measurement of absorbance
of extract containing the analyte.
5.7. Dual Wavelength Spectroscopy
The principle for Dual wavelength method is “the absorbance difference between
two points on the mixture spectra is directly proportional to the concentration of
the component of interest”. The two-wavelength data processing programme is
based on the above principle and can be utilized to a great extent without much
complication to calculate the concentration (unknown) of particular of interest in
a mixture. The two-wavelength calculation is expressed as:
The following mathematical discussion will show that the absorbance difference
between two wavelengths (1&2) on the mixture spectra is directly proportional
to the component of interest, independent of the individual interfering component.
Since, AA1 = AB1 + Ac2
AA2 = AB2 + Ac2
then, AA1 = AA2 (AB1=Ac1)-AB1+Ac2)
= (AB1=AB2) + (Ac1+Ac2)
Since, 2 is chosen such that (Ac1=Ac2)
Then, AA1-AA2+AB1+AB2.
Let, b= Concentration of the pure component of interest B.
D= Concentration of the pure interfering component C.
Then from beer‟s law we get,
AB1=KB1 b, and AB2=KB2. b
Where, KB1= absorption coefficient of the component of interest at1.
KB2 = absorption coefficient of the component of interest at 2.
Therefore,
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 25
AA1 = AA2 = (KB1.b) – (KB2.b)
(KB1=AB2). B
Since the expression (KB1 = AB2) is simply a constant, then
AA1 = AA2 = Constant x b.
Thus, it clearly can be seen that absorbance difference (AA1 – AA2) between two
points (1 and 2) on the mixture curve is directly proportional to the
concentration (Cx) of the component of interest (B) independent of the interfering
component (C).
5.8. Simultaneous Equation Method
If a sample contains two absorbing drugs X and Y, each of which absorbs at the
wavelength maximum of the other, it may possible to determine the
concentrations of both drugs by the techniques of simultaneous equations
(Vierordt‟s method) provided that certain criteria may apply. The information
required is:-
1) The absorbtivities of X at 1 and 2 are ax1 and ax2 respectively.
2) The absorbtivities of Y at 1 and 2 are ay1 and ay2 respectively.
3) The absorbance of the diluted sample at 1 and 2 are A1 and A2 respectively.
Let Cx and Cy be the concentrations of X and Y respectively in the dilute sample.
Two equations are constructed based upon the face i.e.at at 1 and 2 the
absorbance of the mixture in the sum of individual absorbance of X and Y.
At 1, A1 = ax1bcx + ay1bcy………eqa-1
At 2, A2 = ax2bcx + ay2bcy………..eqa-2
If b=1 cm, equation (2) becomes,
Substitution of Cy in equation (1) gives,
5.9. Graphical Absorbance Ratio Method
The method depends upon the property that, for a substance, which obeys Beer‟s
law at all wavelengths, the ratio of absorbance at any two wavelengths, are a
constant value independent of concentration of path length. In the USP, this ratio
Cx= (A2ay1 – A1ay2)
Ax2ay1 – ax1a2
Cy= (A1ay2 – A2ax1)
Ax2ay1 – ax1ay2
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 26
is referred to as Q value, the wavelength of maximum absorption of the two
components. A simple straight- line graphs can be drawn to show the relationship
between the absorbance ratio and the fraction or relative concentration of the two
components. The concentration of individual component may be calculated by
mathematical treatment of the simultaneous equation.
Cx and Cy be the concentration of X and Y respectively, in the sample.
CX = Qm-Qy/Qx-Qy)×A1 /ax1
CY = Qm-Qx/Qy-Qx)×A1 /ay1
Where,
Qm = A2/A1
A1 = absorbance of sample at isoabsorptive point.
A2 = absorbance of sample at max of one of the two components.
Qx = ax2 / ax1
Qy = ay2 / ay1
Where, ax1 and ay1 is absorbtivity of X and Y at isoabsorptive points.
ax2 and ay2 - absorptivity of X and Y at max of one of the two components
5.10. Derivative Spectrophotometry
In derivative spectrophotometry, the first to fourth even higher order derivative of
absorbance with respect to wavelength is employed as the ordinate in plotting
spectral data. Such plots often reveal spectral details that are less apparent in
normal absorption spectral plot and hence, can be utilized for analysis of a
substance in the presence of other substance too.
5.11. Difference Spectrophotometry
The essential feature of difference spectrophotometric assay is that the measured
value is the difference in absorbance (dA) between two equimolar solutions of the
analyte in different chemical forms: which exhibit different spectral
characteristics. The criteria of applying difference spectrophotometry to the assay
of a substance in the presence of other absorbing species are that,
1. Reproducible changes may be induced in the spectrum of the analyte of one or
more reagent.
2. The absorbance of the interfering substance is not altered by the reagents.
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Suresh Gyan Vihar University, Jaipur 27
5.12. Orthogonal Polynomial Method
This technique is another mathematical correction method, which involves
complex calculations. The basis of this method is that an absorption spectrum
may be represented in terms of orthogonal functions as follows:-
A() = Po Po (1) + P1 P1 (2) + ……. pn Pn (n)
Where, A denotes the absorbance of wavelengths belonging to a set of (n+1)
equally spaced wavelengths, at which orthogonal polynomials P0 (), P1 (1)… Pn
(n) are each defined.
6. ANALYTICAL METHOD VALIDATION84, 85
Method validation is the process of demonstrating that analytical procedures are
suitable for their intended use. The method validation process for analytical
procedures begins with the planned and systematic collection of data by the
analyst, which support the analytical procedures. The analyst evaluates the
analytical procedures and validation data is submitted in the NDA or ANDA.
Each BLA (Biologic license application) and PLA (product license application),
must include a full description of the manufacturing methods, analytical
procedures, that demonstrate, that the manufactured product meets prescribed
stands of safety, purity, potency, accuracy and reliability. Also validation method
for method development should be submitted, to prove that the method is suitable
for its intended use. All analytical procedure is of equal importance form a
validation perspective.
In CGMP guidelines of March 28, 1979, the need for validation was done into
sections.
1. Section 211.145, where the word validation was used.
2. Section 211.194, where the proof of suitability, accuracy and reliability
was made compulsory for regulatory submissions.
Subsequently, a guideline was issued on 1st Feb 1987, for submitting samples and
analytical data for method validation. The international conference on
harmonization (I.C.H.) has published a guideline for “validation of analytical
procedures”.
Chapter 1 Introduction
Suresh Gyan Vihar University, Jaipur 28
6.1 Validation Characteristics
For validation of analytical methods applicant should follow characteristics or
parameters needed for validation according to ICH Q2A and ICH Q2B.
Typical validation characteristics are:
1. Linearity
2. Range
3. Accuracy
4. Precision
Repeatability
Intermediate precision
Reproducibility
5. Limit of Detection (LOD)
6. Limit of Quantitation (LOQ)
7. Specificity
8. Robustness
9. Ruggedness
Table 1.3: Type of Validation Required for Analytical Methods
Type of analytical
procedure
characteristics
Identification Testing for
impurities
Assay, dissolution
(measurement
only) content /
potency
Accuracy - + - +
Precision :
Repeatability - + - +
Intermediate Precision - + (1) - + (1)
Specificity (2) + + +
Detection limit - - (3) + -
Quantitation limit - + - -
Linearity - + 1 +
Range - + - +
(-) Signifies that this characteristic is not normally evaluated
(+) Signifies that this characteristic is normally evaluated
(1) In cases where reproducibility has been performed, intermediate
precision is not needed
(2) Lack of specificity of one analytical procedure could be
compensated by other supporting analytical procedures
(3) May be needed in some cases
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Suresh Gyan Vihar University, Jaipur 29
6.1.1. Linearity
The linearity is the ability of analytical procedure to produce test results which are
proportional to the concentration (amount) of analyte in samples within a given
concentration range, either directly or by means of a well-defined mathematical
transformation. Linearity should be determined by using a minimum of six
standards whose concentration span 80 –120% of the expected concentration
range.
The linearity of a method should be established by visual inspection of a plot of
analytical response as a function of analyte concentration. If there is a linear
relationship, test results should be evaluated by appropriate statistical methods,
for example, by calculation of the regression line by the method of least squares.
Reports submitted must includes, the slope of the line, intercept and correlation
coefficient data. The measured slope should demonstrate a clear correlation
between response and analyte concentrations. The results should not show a
significant deviation from linearity, which is taken to mean that the correlation
coefficient, r > 0.99, over the working range (80-120%).
6.1.2. Range
The specified range is normally derived from linearity studies and depends on the
intended application of the procedure. It is established by confirming that the
analytical procedure provides an acceptable degree of linearity, accuracy and
precision when applied to samples containing amounts of analyte within or at the
extremes of the specified range of the analytical procedure.
6.1.3. Accuracy
The accuracy of an analytical method is defined as the degree to which the
determined value of analyte in a sample corresponds to the true value. Accuracy
may be measured in different ways and the method should be appropriate to the
matrix. Analysing a sample of known concentration and comparing the measured
value to the „true‟ value. However, a well characterised sample (e.g., reference
standard) must be used.
The accuracy of an analytical method may be determined by any of the following
ways:
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Suresh Gyan Vihar University, Jaipur 30
Spiked-Placebo (Product Matrix) recovery method- In the spiked-placebo
recovery method, a known amount of pure active constituent is added to
formulation blank [sample that contains all other ingredients except the active(s)],
the resulting mixture is assayed, and the results obtained are compared with the
expected results.
Standard addition method- In the standard addition method, a sample is
assayed, a known amount of pure active constituent is added, and the sample is
again assayed. The difference between the results of the two assays is compared
with the expected answer.
Recommended data
Accuracy should be assessed using a minimum of 9 determinations over a
minimum of 3 concentration levels covering the specified range (e.g. 3
concentrations/ 3 replicates each of the total analytical procedure). Accuracy
should be reported as percent recovery by the assay of known added amount of
analyte in the sample or as the difference between the mean and the accepted true
value together with the confidence intervals.
6.1.4. Precision
The precision of an analytical procedure expresses the closeness of agreement
(degree of scatter) between a series of measurements obtained from multiple
sampling of the same homogeneous sample under the prescribed conditions.
Precision may be considered at three levels: repeatability, intermediate precision
and reproducibility.
For these guidelines, a simple assessment of repeatability will be acceptable. The
precision of an analytical procedure is usually expressed as the variance, standard
deviation or coefficient of variation of a series of measurements. A minimum of 5
replicate sample determinations should be made together with a simple statistical
assessment of the results, including the percent relative standard deviation. If
considered appropriate, a suitable test for outliers (Dixon‟s or Grubbs Test) may
be applied to the results. Where outliers have been discarded that fact must be
clearly indicated. An explanation as to the reason for the occurrence of individual
outliers must be attempted.
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Suresh Gyan Vihar University, Jaipur 31
(a) Repeatability
Repeatability should be assessed using
A minimum of 9 determinations covering the specified range for the
procedure (e.g. 3 concentrations/ 3 replicates each) or
A minimum of 6 determinations at 100% of the test concentration.
(b) Intermediate precision
The extent to which intermediate precision should be established depends on the
circumstances under which the procedure is intended to be used. The applicant
should establish the effects of random events on the precision of the analytical
procedure. Typical variations to be studied include days, analysts, equipment, etc.
It is not considered necessary to study these effects individually. The use of an
experimental design (matrix) is encouraged.
(c) Reproducibility
Reproducibility is assessed by means of an inter-laboratory trial. Reproducibility
should be considered in case of the standardisation of an analytical procedure, for
instance, for inclusion of procedures in pharmacopoeias. This data is not part of
the marketing authorization dossier.
6.1.5. Limit of detection
The detection limit of an analytical procedure is the lowest amount of an analyte
in a sample that can be detected, but not necessarily quantitated as an exact value.
The LOD may be determined by the analysis of samples with known
concentrations of analyte and by establishing the minimum level (lowest
calibration standard) at which the analyte can be reliably detected. The lowest
calibration standard which produces a peak response corresponding to the analyte
should be measured n times (normally 6-10). The average response (X) and the
standard deviation (SD) calculated. The LOD is X + (3 x SD).
6.1.6. Limit of quantitation
The limit of quantitation is the lowest amount of the analyte in the sample that can
be quantitatively determined with defined precision under the stated experimental
conditions. The limit of quantitation is a parameter of quantitative assays for low
levels of compounds in sample matrices and is used particularly for the
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Suresh Gyan Vihar University, Jaipur 32
determination of impurities and/or degradation products or low levels of active
constituent in product.
The LOQ may be determined by preparing standard solutions at estimated LOQ
concentration (based on preliminary studies). The solution should be injected and
analyzed n times (normally 6-10). The average response and the standard
deviation (SD) of the n results should be calculated and the SD should be less
than 20%. If the SD exceeds 20%, a new standard solution of higher
concentration should be prepared and the above procedure repeated. The LOQ is
X + (10 x SD).
Approach-1: Based on visual evaluation
Visual evaluation may be used for non-instrumental methods but may also be used
with instrumental methods. The detection limit is determined by the analysis of
samples with known concentrations of analyte and by establishing the minimum
level at which the analyte can be reliably detected.
Approach-2: Based on signal-to-noise ratio
This approach can only be applied to analytical procedures which exhibit baseline
noise. Determination of the signal-to-noise ratio is performed by comparing
measured signals from samples with known low concentrations of analyte with
those of blank samples and establishing the minimum concentration at which the
analyte can be reliably detected. A signal-to-noise ratio between 3 or 2:1 is
generally considered acceptable for estimating the detection limit.
Approach-3: Based on the standard deviation of the response and the slope
The detection limit (DL) expressed as:
DL = 3.3
s
= standard deviation of the response s = Slope of the calibration curve
The quantitation limit (QL) may be expressed as:
QL = 10
s
Several approaches for determining the detection limit (LOD) and the quantitation
limit (LOQ) are possible, depending on weather the procedure is a non-
instrumental or instrumental. The slope may be determined from the calibration
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curve of the analyte. The estimation of s may be carried out in variety of ways, for
example.
(1) Based on the standard dividing of number of blank samples
(2) Based on Calibration curve.
A specific calibration curve should be studied using an analyte in the range
detection limit. The residual standard deviation of a regression line or the standard
deviation of y-intercepts of regression lines may be used as the standard
deviation.
6.1.7. Specificity
Selectivity of a method refers to the extent to which it can determine particular
analyte(s) in a complex mixture without interference from other components in
the mixture. The terms selectivity and specificity have often been used
interchangeably. The term specific generally refers to a method that produces a
response for a single analyte only, while the term selective refers to a method that
provides responses for a number of chemical entities that may or may not be
distinguished from each other. If the response is distinguished from all other
responses, the method is said to be selective. Since very few analytical methods
respond to only one analyte, the use of the term selectivity is more appropriate
than specificity. The International Union of Pure and Applied Chemistry (IUPAC)
have expressed the view that “Specificity is the ultimate of Selectivity‟.
The selectivity of the analytical method must be demonstrated by providing data
to show the absence of interference peaks with regard to degradation products,
synthetic impurities and the matrix (excipients present in the formulated product
at their expected levels).
6.1.8. Selectivity
It an analytical procedure is able to separate and resolve the various components
of mixtures and detects the analyte quantitatively, the method is called as
selectivity. It is an essential requirement for all types of methods used in
identification. Spectroscopic, chromatographic or chemical selectivity is restricted
to quantitative detection of the components of a sample matrix and it is applicable
to separate methods.
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Identification
It insures the identity of an analyte. Suitable identification tests should be able to
discriminate between compounds of closely related structures, which are likely to
be present. The discrimination of a procedure may be confirmed by obtaining
positive results (by comparison with a known reference material) from samples
containing the analyte, coupled with negative results from samples which don‟t
contain the analyte. In addition identification test may be applied to materials
structurally similar to or closely related to the analyte, to conform that, the
positive response is not obtained.
Assay and impurity test
For chromatographic procedure, representative chromatograms should be used to
demonstrate specificity and individual components should be labeled
appropriately. Similar considerations should be given to other separation
techniques. Critical separation in chromatography should be investigated at an
appropriately level for critical separation. Specificity can be demonstrated by the
resolution of the two components, which eluted closest to each other. In case
where a non-specific assays is used to demonstrate overall specificity. The
approach is similar for both assay and impurity tests.
6.1.9. Robustness
The evaluation of robustness should be considered during the development phase.
It should show the reliability of an analysis with respect to deliberate variations in
method parameters. If measurements are susceptible to variations in analytical
conditions, the analytical conditions should be suitably controlled or a
precautionary statement should be included in the procedure. One consequence of
the evaluation of robustness should be that a series of system suitability
parameters (e.g., resolution test) is established to ensure that the validity of the
analytical procedure is maintained whenever used:-
Influence of variations of pH in a mobile phase,
Influence of variations in mobile phase composition,
Different columns (different lots and/or suppliers),
Temperature
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6.1.10. Ruggedness
The ruggedness of an analytical method is the degree of reproducibility of test
result obtained by the analysis of the same, under a variety of normal test
conditions, such as different laboratories, reagents, analyst, instruments, days,
assay temperature, etc. It is normally expressed as the lack of influence on test
results of operational and environmental variables of the analytical method. To
determine the methods ruggedness, the results obtained after the changes have
been implemented with the assays, should be compared with the precision of the
assay under normal conditions.
7. STATISTICAL PARAMETER
There is some statistical parameter listed below and their formula for calculation
Table 1.4: Commonly Used Statistical Parameters and their Calculation
S. No. Statistical
Parameter
Formula Significance
1. Arithmetic mean X= x1 +x2 + ….+xn
n
Easy and ideal measures of central
tendency.
Very much affected by extreme
observation
2. Standard
deviation
(S)
S = (x –x)2 / n-1
Summarises the deviation of a
large distribution from mean in
one figure used as a unit of
variation.
For small observations, it does not
estimate the range within which
the true mean may be found
3. Relative standard
deviation (RSD)
RSD = s/x A measure of precision
4. Coefficient of
variance (CV)
CV = S x 100/x Percentage of RSD.
Compare the variability of two or
more than two series.
5. Standard error of
mean (Sex)
SEx = s/ n
Improved by increasing the
number of measurements
6. Standard error of
standard
deviation
SE = s/ 2n
Significance of standard deviation
7. Confidence of
Interval
= x + ts
n
Estimate the range within which
the true mean may be found
Where, x = value of particular value, n = number of observations. = true value,
t = a parameter that depends upon the number of degrees of freedom v and
confidence level required, V = (n=1) = degree of freedom