The Specific Heat of Manganese From 16° to 22° K

Abstract

A calorimeter is described for routine measurements of specific heats in the temperature region of liquid hydrogen and liquid helium. It is designed so that samples can be interchanged without disturbing the calibration of the thermometer, or the water equivalent of the calorimeter. The calorimeter has been used to measure the specific heat of manganese from 16° to 22° K. It was found that the atomic heat of this metal is given by the formula[Formula: see text]

Perturbation of the Electronic Specific Heat Due to Magnetic Impurities

“…Singular Fermi-surface effects first appear in third-order perturbation for the scattering probability of the electrons. Kondo chose the s-d exchange model introduced and used by Zener, 2 Kasuya, 3 and Yosida, 4 and showed that the scattering probability was logarithmically singular as the temperature approached zero, for electron energies close to the Fermi energy, in accord with the experimental data.…”

“…For the cutoff M equal to juo, b is of the order of magnitude of one. Using (A9), (2.6), (2.9), (2.10),(3,2), and (3.7), we obtain the shift of the thermodynamic potentialA&v = _ (81/16) (J/fx 0 yz 2 cS(S+1) XN(0)Vbk 2 T 2 ln(fjL 0 /6kT). (3.9)The most singular contribution to the third-order shift in entropy isASM = + (81/8)(// M o) 3 3 2^0 S'+1) XN(0)Vbk 2 T ln(iao/6kT).…”

On the third-generation Calphad databases: An updated description of Mn

“…Elson et al , Shomate , Kelley et al , Armstrong and Greyson‐Smith , Booth et al , Guthrie et al , and Martin and Heer have measured heat capacity of α‐Mn at low temperatures. In addition, there is experimental data for heat capacity of α‐Mn at intermediate and high temperatures by Kelley et al , Armstrong and Grayson‐Smith , and Franzosini et al .…”

“…u D , K method [12] 410 heat capacity measurements [13] 343.5 [14] 348 [15] 417 [16] 392 [20] 415 [17] 409 [43] 350 thermal expansion measurements [22] 380 AE 20 [26] 485 elastic moduli measurements [31] 438, T > 95 K neutron diffraction studies 536, T < 95 K [44] 370 thermal expansion and heat capacity measurement temperature of a-Mn was selected equal to 460 K as the initial value for this optimization, as proposed by Weiss and Tauer [8].…”

Lattice dynamics in the [alpha]-phase of the IVB transition elements

“…The IVB elements have relatively high melting temperatures (see Table 1 for a summary of the important physical properties (11)(12)(13)(14)(15)(16)(17)(18) of the IVB subgroup) and upon solidification crystallize into the body centered cubic (bcc) structure (3-phase). However, for these metals the bcc lattice is dynamically unstable at low temperatures and consequently they undergo a structural phase transformation of the martensitic (19,20) variety to the hep structure (a-phase) which then remains stable for all temperatures less than the transformation temperature ^ bcc* This structural change is accompanied by about a one percent change in volume (V^^^^ < vî^*^^^) .…”