4 9 0 D O C . 3 1 5 C A L C U L A T I O N S O N G A S E S
315. Calculations on Quantum Theory of Gases
[Berlin, after 1 September
1924][1]
Gas charakterisiert durch N, VT
[2]
Wenn für einen Freiheitsgr.
S0 N[0?]( V T) , =
S S0 +
S0 S0
∂S0ΔN0
∂N
------- -
∂S0ΔT-
∂T
------- + + =
s0
ε
T
----ν-
N0∂T
∂s0
ΔT
S0 κlgW = W
z 1)!q! (
q z 1)! –+ (
---------------------------
q z 1)! –+ (
z 1)!q! (
--------------------------- =
κ( q z)lg( + ( q z) + qlg q zlg z) =
κ§
qlg 1
z

-+--·
©
§
zlg 1
z¹¹
-+--··q
©
§

©
=
q q0 Δ += S S q0) (
∂q¹
∂S·
©
§
0
Δ
∂2S
∂q2¹
--------·
©
§
0
Δ2
2
----- - + + = Δ =
W konst.e
S
κ
----
konst.e2κ©
1
------§
∂2S
∂q2¹
--------·
0
Δ2
= =
Δ2
κ
d--------·S2
dq2¹ ©
§
0
---------------- –=
1dS
κdq
-- - lg 1
z

-+--·
©
§
q
1
z
q
-+--
------------
z
q2¹
----·
-–
©
§
z
1
q
z
-+--
------------
1
z
-- - + z²lg ¢ q z) + ( 1 lgq 1 –+ = =
lg 1

q
-+--¹
©
§
z
q z +
----------- =
1
κdq2
-- -
d2S
--------
1
q z +
-----------
1
q
-–--
–z
q q z) + (
------------------- = = Δ2
1
1∂2S
κ
-- -
∂q2
--------
–------------

1
q

-+--·
©
q
q2
z
---- -+ = = =
e2 ε2
=
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