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ABOUT THIS REPORTThis official electronic version was created by scanning the best available paper or microfiche copy of the original report at a 300 dpi resolution. Original color illustrations appear as black and white images.

For additional information or comments, contact: Library Without Walls Project Los Alamos National Laboratory Research LibraryLos Alamos, NM 87544 Phone: (505)667-4448 E-mail: [email protected]

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Tables of Electron Density and Potential

These tables of ole~tron density G and potential;.tas funotions

iof a characteristicmomentum P were requirad in AshkinUs york on

~lEquationof State of aCompressed Metal Aooording to the Thomas=-Fermi=.

Dirao Model’$a,

Ashkin used the~ to find the equati& of state of uranium.

Sinoe these.tables are valid for any atomio ‘-~~ber~they are given here.

They were oomputed for Ashkin by the computing and JBM groups (T-5 and T-6)

in the sprin&of 19450 1

The quantities listed aree,

/i

10 P- ‘oharaoteristiomomentum”~ measured in kerns of a uni.~ mo.?entum

Po = &02/h(~o’3% Eqo (17)P p. iS “4 times the linear momentum of the7

first Bohr orbit.) In the semi-olasstoal Fermi-Thomas description of

a%ome, eleotron states are oharaeterized by approximate values of.position

and momentum. The !$oharaoteristio momentum” is that momentum for which

~he probabilityof oooupa+ion ofaneleotrouic state is 1/20 (IA-393. p018)

20 G- The eleotron density times l/2(h/k)3, or the density of electrone

ofa given spins measured in units (po/h)3~ (IA-393s Eq~(15) )

3. “Y%.the electrostatic potential measured in units P02 o (LA-393$ Eq.(14) ).,

Differeaae5 are also tabulated. The %hles were computed from M0393,

I?q.(21)0 Ps G, andXare all flmotions of positions and t~e functional “

relations oan btvfound by integrating tliePorssion equa6ion

“)

fh2/’b2)2&~: = -@[z (h/’po)% k) - 2G\ [email protected]~ Eqs(16).

● ☛ ● 00 ● *9 ● ●● ob :% ● ● ● ●D*● ** ● ● .e ●● O.**O ● *-

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differential equation to

Table I is for:’

=.3.

be integrated

a temperature

Table II is for 10 eleotron volt6 with

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;0= Oo4S3480.

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.

.TABLE II

Charge density G as a function of

eloctrostatio potential X at a

temperature of 10 eleotron volts.

.

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