Heat transfer in solid methyl alcohol
Thermal conductivity coefficient к(T) of two crystalline (orientationally-ordered and orientationally-disordered) phases of pure methanol (at temperatures from 2 K to Tm , Tm is the melting temperature), CH₃OH + 6.6 % H₂O glass from 2 K to Tg , Tg is the glass transition temperature and a supercoole...
Gespeichert in:
| Veröffentlicht in: | Физика низких температур |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
|
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/117111 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Heat transfer in solid methyl alcohol / O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, O.O. Romantsova // Физика низких температур. — 2009. — Т. 35, № 4. — С. 380-384. — Бібліогр.: 34 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-117111 |
|---|---|
| record_format |
dspace |
| spelling |
Korolyuk, O.A. Krivchikov, A.I. Sharapova, I.V. Romantsova, O.O. 2017-05-19T19:26:01Z 2017-05-19T19:26:01Z 2009 Heat transfer in solid methyl alcohol / O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, O.O. Romantsova // Физика низких температур. — 2009. — Т. 35, № 4. — С. 380-384. — Бібліогр.: 34 назв. — англ. 0132-6414 PACS: 66.70.–f, 63.20.–e, 63.50.–x https://nasplib.isofts.kiev.ua/handle/123456789/117111 Thermal conductivity coefficient к(T) of two crystalline (orientationally-ordered and orientationally-disordered) phases of pure methanol (at temperatures from 2 K to Tm , Tm is the melting temperature), CH₃OH + 6.6 % H₂O glass from 2 K to Tg , Tg is the glass transition temperature and a supercooled liquid from Tg to 120 K has been measured under equilibrium vapor pressure. The dependence к(T) is described approximately as a sum of two contributions: кI(T) describing heat transport by acoustic phonons and кII(T) —by localized high-frequency excitations. The temperature dependences of the thermal conductivity of primary monoatomic alcohols CH₃OH, C₂H₅OH, and C₃H₇OH in the glass state have been compared. Different mechanisms of phonon scattering in the crystalline phases and glass have been analyzed. The кII(T) has been calculated within the Cahill–Pohl model. There is an anomaly of the thermal conductivity of the glass state near Tg (a smeared minimum in the к(T) — curve). The authors are sincerely grateful to B.Ya. Gorodilov, Prof. V.G. Manzhelii and Prof. F.J. Bermejo for helpful discussions and interest in this study. The investigations is made on the competition terms for joint projects of NAS of Ukraine and Russian Foundation for Fundamental Research (Agreement N 9-2008, Subject: «Collective processes in metastable molecular solids»). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур 7th International Conference on Cryocrystals and Quantum Crystals Heat transfer in solid methyl alcohol Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Heat transfer in solid methyl alcohol |
| spellingShingle |
Heat transfer in solid methyl alcohol Korolyuk, O.A. Krivchikov, A.I. Sharapova, I.V. Romantsova, O.O. 7th International Conference on Cryocrystals and Quantum Crystals |
| title_short |
Heat transfer in solid methyl alcohol |
| title_full |
Heat transfer in solid methyl alcohol |
| title_fullStr |
Heat transfer in solid methyl alcohol |
| title_full_unstemmed |
Heat transfer in solid methyl alcohol |
| title_sort |
heat transfer in solid methyl alcohol |
| author |
Korolyuk, O.A. Krivchikov, A.I. Sharapova, I.V. Romantsova, O.O. |
| author_facet |
Korolyuk, O.A. Krivchikov, A.I. Sharapova, I.V. Romantsova, O.O. |
| topic |
7th International Conference on Cryocrystals and Quantum Crystals |
| topic_facet |
7th International Conference on Cryocrystals and Quantum Crystals |
| publishDate |
2009 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
Thermal conductivity coefficient к(T) of two crystalline (orientationally-ordered and orientationally-disordered) phases of pure methanol (at temperatures from 2 K to Tm , Tm is the melting temperature), CH₃OH + 6.6 % H₂O glass from 2 K to Tg , Tg is the glass transition temperature and a supercooled liquid from Tg to 120 K has been measured under equilibrium vapor pressure. The dependence к(T) is described approximately as a sum of two contributions: кI(T) describing heat transport by acoustic phonons and кII(T) —by localized high-frequency excitations. The temperature dependences of the thermal conductivity of primary monoatomic alcohols CH₃OH, C₂H₅OH, and C₃H₇OH in the glass state have been compared. Different mechanisms of phonon scattering in the crystalline phases and glass have been analyzed. The кII(T) has been calculated within the Cahill–Pohl model. There is an anomaly of the thermal conductivity of the glass state near Tg (a smeared minimum in the к(T) — curve).
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117111 |
| citation_txt |
Heat transfer in solid methyl alcohol / O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, O.O. Romantsova // Физика низких температур. — 2009. — Т. 35, № 4. — С. 380-384. — Бібліогр.: 34 назв. — англ. |
| work_keys_str_mv |
AT korolyukoa heattransferinsolidmethylalcohol AT krivchikovai heattransferinsolidmethylalcohol AT sharapovaiv heattransferinsolidmethylalcohol AT romantsovaoo heattransferinsolidmethylalcohol |
| first_indexed |
2025-11-25T12:21:14Z |
| last_indexed |
2025-11-25T12:21:14Z |
| _version_ |
1850512169375891456 |
| fulltext |
Fizika Nizkikh Temperatur, 2009, v. 35, No. 4, p. 380–384
Heat transfer in solid methyl alcohol
O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, and O.O. Romantsova
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
47 Lenin Ave., Kharkov 61103, Ukraine
E-mail: korolyuk@ilt.kharkov.ua
Received January 26, 2009
Thermal conductivity coefficient �(T) of two crystalline (orientationally-ordered and orientational-
ly-disordered) phases of pure methanol (at temperatures from 2 K to Tm , Tm is the melting temperature),
CH3OH + 6.6 % H2O glass from 2 K to Tg , Tg is the glass transition temperature and a supercooled liquid
from Tg to 120 K has been measured under equilibrium vapor pressure. The dependence �(T ) is described
approximately as a sum of two contributions: �I(T) describing heat transport by acoustic phonons and
�II(T) — by localized high-frequency excitations. The temperature dependences of the thermal conductivity
of primary monoatomic alcohols CH3OH, C2H5OH, and C3H7OH in the glass state have been compared. Dif-
ferent mechanisms of phonon scattering in the crystalline phases and glass have been analyzed. The �II(T)
has been calculated within the Cahill–Pohl model. There is an anomaly of the thermal conductivity of the
glass state near Tg (a smeared minimum in the �(T) — curve).
PACS: 66.70.–f Nonelectronic thermal conduction and heat-pulse propagation in solids; thermal waves;
63.20.–e Phonons in crystal lattices;
63.50.–x Vibrational states in disordered systems.
Keywords: heat transport, acoustic phonons, thermal conductivity, monoatomic alcohols.
Introduction
Methanol is a monoatomic primary alcohol. The single
methyl group CH3 of the methanol molecule is bound to
the hydroxyl group OH. Among the primary alcohols,
methanol has the shortest and most mobile molecule,
which makes it a suitable object for modeling the proper-
ties of alcohols having more complex molecules [1–6].
The simple structure of the methanol molecule shows up
most obviously in its properties [2–12]. In contrast to wa-
ter ice which, under normal conditions, is an associated
substance with strong tetragonally directed cooperative
H bonds, monoatomic alcohols in the condensed state are
viewed as associated objects with moderate H bonds and
a chain-like structure [1,4].
The effects of the cooperative hydrogen bond in differ-
ent properties of alcohols decreases as the number of car-
bon atoms in the molecule increases. At varying tempera-
ture and pressure, methanol displays more equilibrium
phases than ethanol [4–6,13]. Polymorphism of the crys-
talline phases of methanol is governed by its H bonds
which are stronger than the dispersive molecular interac-
tions and by its simpler molecular structure in comparison
to ethanol. It is found in the previous studies [14–16] of
thermal conductivity of alcohols (ethanol and isomers of
propyl alcohol) in different polymorphous states that eth-
anol has similar temperature dependence of thermal con-
ductivity (especially at low temperatures) in the phases of
a metastable orientationally disordered crystal and a glass
(structurally disordered solid). In the propyl alcohols
(1-propyl alcohol and 2-propyl alcohol) a strong isomeric
effect in the temperature dependence of thermal conduc-
tivity was observed.
Under equilibrium vapor pressure and by lowering
temperature, methanol crystallizes at Tm = 175.37 K into
the orientationally disordered high-temperature state
(�-phase). Upon the further decrease of temperature, a so-
lid–solid transformation into the low-temperature ori-
entationally-ordered state (�-phase) occurs at T�–� =
= 157.4 K [13]. Their space groups are P212121 for
�-phase and Cmcm �-phase [13]. Unlike the situation in
ethanol and propanol, fast cooling of the liquid phase hin-
ders the glass transition in methanol. It proceeds more
prominently when vapor is condensed onto a cold sub-
strate below Tg = 103.4 K [8,17]. Poor glass-forming
ability of this substance is caused by the structure of its
liquid and crystalline phases which consist of zigzag
chains of alternating H-bonded molecules. The glass
© O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, and O.O. Romantsova, 2009
phase of methanol can be obtained by adding a small
quantity of water (~6.5 mol.% H2O) to it [18]. The glass
transition in methanol with water admixture occurs in
rather wide temperature interval Tg = 100–120 K [19].
In this study the thermal conductivity has been mea-
sured, for the first time, on pure methanol in different
states — equilibrium crystalline phases from 2 to 175 K,
glass from 2 K to Tg, and supercooled liquid from Tg to
120 K of methanol with water admixture. The measure-
ments were made under equilibrium vapor pressure using
the method of steady-state linear heat flow.
Experiment and discussion
The thermal conductivity of different phases of solid
methanol was measured under equilibrium vapor pressure
in a set-up described earlier [20] using the steady-state
potentiometric method. The container for the sample [20]
was a stainless steel tube. Two copper wires 1 mm in di-
ameter were placed across the container perpendicular to
its axis, which permitted measurement of the average
temperature in the isothermal planes across the sample.
At the outer surface of the container, copper sockets were
soldered to the wires to hold temperature sensors. The liq-
uid methanol sample was admitted into the container of
the measuring cell under 4He gas. The helium gas was
used to improve the heat exchange between the sample
and the container. The container with the sample was vac-
uum-tight closed by a copper cap with an indium O-ring.
A heater was mounted on the container cap to generate
a downward heat flow along the sample.
The thermal conductivity of pure methanol and its so-
lution with distilled water was measured. According to
chromatographic analysis, the water content in the pure
methanol was less than 0.2% H2O. The water-methanol
solution contained 6.6 mol.% H2O.
The samples in the glass and crystalline phases (� and
�) were prepared using the techniques applied to ethanol
[14,15]. The measurements were performed at gradually
decreasing temperature. After reaching the lowest tem-
perature point the measurement was continued at increas-
ing temperature. Crystalline sample was grown in the
measuring container during slow cooling the liquid
slightly below Tm. Thermal conductivity was measured
on crystalline samples of pure methanol and methanol
with 6.6 % H2O. The water impurity had practically no ef-
fect on the magnitude of the thermal conductivity of
methanol.
The glass-state sample of methanol with H2O admix-
ture was created by very fast (above 50 K·min–1) cooling
the liquid to the temperature of liquid N2 (boiling at nor-
mal pressure). By heating above Tg the glass sample
transformed into a supercooled liquid. Upon the further
increase of temperature, above T � 121 K the supercooled
liquid crystallized spontaneously, thermal conductivity of
the sample increasing abruptly.
The experimental temperature dependence of the ther-
mal conductivity �(T) measured on methanol crystals
(�- and �-phases), glass, and the supercooled liquid
methanol with 6.6 % H2O are shown in Fig. 1 along with
the temperatures of glass (Tg) and orientational phase
(T�–�) transitions.
The dependence �(T) of the crystalline sample exhibits
some interesting features. The thermal conductivity of the
�-phase (orientationally disordered crystal) is independ-
ent of temperature (see Fig. 1,b). This agrees with the fact
that methanol glass has many structural features in com-
mon with the �-phase crystal [2,8,7]. In the orientati-
Heat transfer in solid methyl alcohol
Fizika Nizkikh Temperatur, 2009, v. 35, No. 4 381
10 100
0.01
0.1
1
60 80 100 120 140 160 180
0.1
0.2
0.3
0.4
0.5
crystal
glass
supercooled liquid
T, K
a
�,
W
·m
K
–
1
–
1
�,
W
·m
K
–
1
–
1
T, K
b
�II
g
�II
g
�I
g
�I
g
�II
c
�II
c
�I
c
�I
c
Tg
Tg
T� �–
T� �–
Fig. 1. Temperature dependence of the thermal conductivity in
the �- and �-phases (�) of pure methanol and glass (�) and in
the supercooled liquid (�) of methanol with 6.6 % H2O. Ther-
mal conductivity of the sample after crystallization from the
supercooled liquid at T = 121 K (�). Dashed straight lines are
Tg and T�–�. Theoretical calculation of contributions of ther-
mal conductivity for �-phase and the glass state: �I(T ) (solid
lines) refers to the propagating acoustic phonons; �II(T ) (dot
lines) accounts for the localized short-wavelength modes. So-
lid lines are the sum � � �� �
I II
j j , where j = c or g for �-phase
and the glass state respectively. The results are presented on
double logarithmic scale in a wide interval of temperatures (a)
and in the usual scale in the interval T > 60 K (b).
onally ordered �-phase, �(T) increases at lowering tem-
perature, passes through a broad maximum and then
decreases, i.e., the curve has a bell-like shape, typical for
an orientationally ordered molecular crystal. Thermal
conductivity of the glass sample is distinctly different:
�(T) increases with temperature, has a small kink near
T = 7 K, goes through a smeared maximum at T � 55 K,
then decreases down to a broad minimum and starts to in-
crease again (in the supercooled liquid state). The highest
value of d�(T)/dT is observed below 4 K. The broad mini-
mum in the �(T) curve is an anomalous feature of the ther-
mal conductivity of glass [21] (see Fig. 1,b). Thermal
conductivity of methanol–H2O sample crystallized at
T > 121 K coincides, within the experimental error, with
�(T) of the sample prepared by crystallizing the pure
methanol at T � Òm .
The behavior of �(T) of the methanol glass is similar to
that of the glasses of ethanol and 1-propanol [14,15] (see
Fig. 2). In comparison with other alcohols, �(T) of metha-
nol glass increases most rapidly with temperature up to
a broad maximum. The highest values of �(T) in methanol
are close to those in ethanol and 1-propanol. It is espe-
cially interesting that the anomaly in the �(T) curve shows
up in the interval 50–120 K. The anomalous behavior of
the thermal conductivity can be approximately described
by the dependence �(T) = aT –1 + b + cT (a = 2.25 W·m–1;
b = 0.125 W·m–1K–1; c = 0.00043 W·m–1K–2) but its ori-
gin is not yet fully understood. The results of this study
furnish convincing evidence that the anomaly of �(T) is
a typical characteristic of the curve describing thermal
conductivity of glass state of a solid alcohol.
The temperature dependence of the thermal conductiv-
ity of the orientationally-ordered phase and glass state
can be interpreted assuming that �(T) consists of two
components [22–29]:
�(T) = �I(T) + �II(T) . (1)
The component �I(T) refers to the propagating phon-
ons whose mean free path is longer than the phonon
half-wavelength. The phonons are the main heat-transferring
particles. The component �II(T) accounts for the localized
short-wavelength vibrational modes, or phonons with the
mean free path equal to the phonon half-wavelength. This
approximation was used before to interpret �(T ) of etha-
nol glasses [14] and isomers of propanol [15].
The contribution �I(T) can be calculated within the
Debye–Peierls time-relaxation model. In the �I(T) case of
the orientationally-ordered crystalline phase (at the tem-
perature to the right of the phonon maximum) the
phonon–rotational and phonon–phonon scattering mech-
anisms dominate. They are effectively described by the
Umklapp processes. The total inverse relaxation time
(rate) of phonons is assumed to obey the Matthiesen rule
and, therefore, can be expressed as a sum of rates repre-
senting different processes leading to phonon scattering.
For an ordered crystal, it is expected that the dominant
mechanisms able to scatter heat-carrying phonons will
concern anharmonic Umklapp processes with the rate �U
�1,
and scattering by dislocations � ��dis
1 . Relevant expressions
for the scattering processes are given by:
�U
�1(�,T) = B�
2
T exp [–EU/T] , (2)
�dis
�1 (� ,T) = Ddis� , (3)
where � is the phonon frequency, B is the frequency-fac-
tor, EU is activation energy for the U-processes, and
Ddis is the dislocation scattering strength.
The temperature dependence of the contribution �I(T)
to the thermal conductivity of glass can be described
phenomenologically using the soft potential model
(SPM) [30] which portrays phonon scattering as mainly
caused by low-energy excitations of a strongly anharmon-
ic ensemble of particles. The scattering rate of acoustic
phonons in a disordered system �G
�1 is given by a sum of
three terms describing scattering by the tunnel states,
classical relaxors and soft quasiharmonic vibrations, and
reads:
�
G
B
C
k T
T
W
� ��
�
�
�
�
�� �
�
�
�
�
�
�
�
�
�
1
3 4
1 4
2
1
tanh ln
/
/�
� 0
�
�
�
�
�� �
� �
�
�
�
�
�
�
�
�
1
6 2
3
�
W
. (4)
Here �0 is the inverse of an attempt frequency and is of the
order of 10–13 s, which account, made of the sound wave
frequencies (10–100 GH), yields a logarithmic factor
ln–1/4 (1/
�0) � 0.7. The most relevant parameters are:
the dimensionless C parameter and the characteristic en-
ergy W.
382 Fizika Nizkikh Temperatur, 2009, v. 35, No. 4
O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, and O.O. Romantsova
1 10 100
0.1
Methanol
Ethanol
1-Propanol
T, K
�,
W
·m
K
–
1
–
1
Fig. 2. Temperature dependences of the thermal conductivity
of pure 1-propanol [16] (�), ethanol [14,15] (�), and metha-
nol with 6.6 % H2O in glass state (this work) (�).
The component �II(T ) refers to the heat transfer by lo-
calized harmonic short-wavelength vibrational modes, or
by acoustic phonons with the mean free path equal to the
phonon half-wavelength. The simplest description of
�II(T ) is provided by the phenomenological Cahill–Pohl
model [31] which was proposed to interpret the thermal
conductivity of amorphous solids at high temperatures.
The model accounts adequately for the features of the
isochoric high-temperature thermal conductivity of mo-
lecular crystals in the orientationally-ordered phase [32].
According to the model, the thermal conductivity is:
�
� �II �
�
�
�
�
�
�
�
�
�
��
�6 1
1 3
2 3
2 3
2
0
/
/
( )
B i
i
x
x
n
T x e
e
dx
�
�/T
i
��
�
�
�
��
�
�
!�
,
(5)
where kB is the Boltzmann constant, n is the number of at-
oms per unit volume; summation is over three vibrational
modes with the sound velocities vi , i is the index of sum-
mation over the phonon mode polarizations, �i is the
Debye temperature for each polarization, x = ��/(kBT). In
the Debye approximation for the phonon spectrum of an
isotropic solid (the difference between the polarizations
of the phonon modes is disregarded) �II(T ) becomes:
�
" �
## �
�
�
�
�
�
�
�
�
�
�
�
3
1
36 1
1 3 1 3 2 2 3
2
F
N
M
T x
e
A B
x
x
/ /
( )� �
e
dx
T
0
�/
� ,
(6)
where " is the density, Ì is the molar mass, NA is the Avo-
gadro number, � is the averaged Debye temperature, F is
the dimensionless fitting parameter allowing effectively
for the intensity of the heat transfer by localized excita-
tions, including the rotational ones. Note that in the
orientationally disordered phase �(T) is determined by lo-
calized states of different origin.
The thermal conductivity of methanol was calculated
using: Ì = 32.04 g/mol; " = 1015 kg/m3 [13]; the mean
sound velocity v = 1400 m/s was calculated using the data
for the longitudinal sound velocity [33]; � = 106 K was
calculated from the v-value.
Table 1 gives the fitting parameters obtained by com-
paring experimental results and calculated curves.
Table 1. Parameters obtained by fitting theoretical and experi-
mental data
B, s/K EU , K Ddis C W, K F
�-phase 5.3·10
–16
18 4.6·10
–3
— — 4.8 $ 0.2
�-phase 0 — 0 — — 7.0 $ 0.2
glass 0 — 0 2.9·10
–3
5 2.9 $ 0.2
The curves in Fig. 1 are the dependences �I(T), �II(T),
and �(T) calculated for �-phase and the glass state. At
temperatures near and to the left of the �(T) maximum,
the thermal conductivity of the �-phase of solid methanol
is mainly determined by �I(T). Above the maximum and
up to T�–� , the share of �II(T) increases with temperature.
No �I(T) is observed in the �-phase. Similar behavior of
�I(T) and �II(T) contributions to the total thermal conduc-
tivity is observed in the glass state of methanol with water
admixture: �I(T) determines the thermal conductivity at
temperatures to the left of the kink at Ò < 7 K. At Ò > 10 K
the component �II(T) starts to increase rapidly with tem-
perature. The theoretical curve offered by this model is
inadequate to explain the smeared minimum of �(T) near
T = 80 K in the glass state. The division of �(T) into two
components permits a satisfactory description of thermal
conductivities in a substance capable of developing dif-
ferent molecular structures with different degrees of ori-
entational and translational ordering. McGaughey and
Kaviany [28] accept it as a universal theoretical tool. The
behavior and magnitude of the contribution �II(T) to the
thermal conductivity of an orientationally ordered crystal
� II
c is similar to that in the glass state �
II
g
, which prompts
the conclusion that the contribution �II is practically inde-
pendent of the substance state (glass or orientational-
ly-ordered crystal). When the �-� phase transition oc-
curs, it is accompanied with a volume jump %V/V � 4%
[7]. However, there is no jump (within the experimental
error) of the thermal conductivity (see Fig. 1,b). The rea-
son may be that in the region below T�–� the thermal con-
ductivity is determined not by the phonon contribution �I
sensitive to volume variations but by the contribution �II
from localized vibrational modes, and �II is only slightly
sensitive to changes in the volume [34]. The contribution
�II referring to the heat transport by localized states is in-
dependent of the molecular structure of methanol and is
determined primary by the increasing intensity of rotation
of the methyl and hydroxyl groups of the molecule and
their cooperative rotational hopping of the molecules at
increasing temperature. The coupling of acoustic phon-
ons and localized excitations becomes most efficient
above 10 K and increases with temperature [18,19].
Summing, the thermal conductivity of methanol has
been measured for the first time on samples in different
states – equilibrium crystalline phases (from 2 K to Tm),
glass state (from 2 K to Tg) and supercooled liquid (from
Tg to 120 K) of methanol with water admixture. It is
shown that in the solid states the thermal conductivity
�(T) is a sum of two contributions: �I(T) corresponds to
propagating phonons which are the main heat-transport-
ing particles and are dependent on the translational and
orientational ordering of molecules. The component
�II(T) accounts for the heat transport by localized excita-
tions. �II is almost independent of the methanol state
(glass or an orientationally-ordered crystal). An anoma-
lous feature has been detected in the thermal conductivity
Heat transfer in solid methyl alcohol
Fizika Nizkikh Temperatur, 2009, v. 35, No. 4 383
of the methanol glass: a smeared minimum in the curve
�(T) near the glass transition temperature. This behavior
of �(T) is similar to that encountered in ethanol glass and
two isomers of propanol [21].
The new results and a detailed analysis of the thermal
conductivity of monoatomic alcohols both in the me-
tastable states and in thermodynamically equilibrium
phases are planned to be published in a subsequent paper.
The authors are sincerely grateful to B.Ya. Gorodilov,
Prof. V.G. Manzhelii and Prof. F.J. Bermejo for helpful
discussions and interest in this study. The investigations
is made on the competition terms for joint projects of
NAS of Ukraine and Russian Foundation for Fundamen-
tal Research (Agreement N 9-2008, Subject: «Collective
processes in metastable molecular solids»).
1. D.C. Steytler, J.C. Dore, and D.C. Montague, J. Non Cryst.
Solids 74, 303 (1985).
2. T. Doba, K.U. Ingold, A.H. Reddoch, W. Siebrand, and
T.A. Wildman, J. Chem. Phys. 86, 6622 (1987).
3. J.M. Brown, L.J. Slutsky, K.A. Nelson, and L.-T. Cheng,
Science 241, 4861, 65 (1988).
4. B.H. Torrie, S.-X. Weng, and B.M. Powell, Mol. Phys. 67,
575 (1989).
5. S. Lucas, D. Ferry, B. Demirdjian, and J. Suzanne, J. Phys.
Chem. B109, 18103 (2005).
6. E.L. Gromnitskaya, O.V. Stal’gorova, O.F. Yagafarov,
V.V. Brazhkin, A.G. Lyapin, and S.V. Popova, JETP Lett.
80, 597 (2004).
7. D.W. Davidson, Can. J. Chem. 34, 1243 (1956).
8. M. Sugisaki, H. Suga, and S. Seki, Bull. Chem. Soc. Jpn.
41, 2586 (1968).
9. H.G. Carlson and Edgar F. Westrum Jr., J. Chem. Phys. 54,
1464 (1971).
10. F.J. Bermejo, F. Batallan, E. Enciso, M. Garcia-Hernandes,
J. Alonso, and J.L. Martinez, Europhys. Lett. 12, 129 (1990).
11. F.J. Bermejo, F. Batall�n, J.L. Mart�nez, M. García Her-
n�ndez, and E. Enciso, J. Phys.: Cond. Matt. 2, 6659 (1990).
12. F.J. Bermejo, J.L. Martinez, M. Garcia-Hernandez, D. Mar-
tin, F.J. Mompean, J. Alonso, and W.S. Howells, Euro-
phys. Lett. 15, 509 (1991).
13. B.H. Torrie, O.S. Binbrek, M. Strauss, and I.P. Swainson,
J. Solid State Chem. 166, 415 (2002).
14. A.I. Krivchikov, A.N. Yushchenko, V.G. Manzhelii, O.A.
Korolyuk, F.J. Bermejo, R. Fernandez-Perea, C. Cabrillo,
and M.A. Gonzalez, Phys. Rev. B74, 060201 (2006).
15. F.J. Bermejo, R. Fernandez-Perea, C. Cabrillo, A.I. Kriv-
chikov, A.N. Yushchenko, O.A. Korolyuk, V.G. Manzhe-
lii, M.A. Gonzalez, and M. Jimenez-Ruiz, Fiz. Nizk. Temp.
33, 790 (2007) [Low Temp. Phys. 33, 606 (2007)].
16. A.I. Krivchikov, A.N. Yushchenko, O.A. Korolyuk, F.J.
Bermejo, R. Fernandez-Perea, I. Bustinduy, and M.A. Gon-
zalez, Phys. Rev. B77, 024202 (2008).
17. Susan M. Dounce, Julia Mundy, and Hai-Lung Dai, J. Chem.
Phys. 126, 191111 (2007).
18. F.J. Bermejo, D. Martin, J.L. Mart�nez, F. Batallan, M. Gar-
c�a–Hern�ndez, and F.J. Mompean, Phys. Lett. A150,
201 (1990).
19. F.J. Bermejo, M. Garc�a Hern�ndez, J.L. Mart�nez, A. Cri-
ado, and W.S. Howells, J. Chem. Phys. 96, 7696 (1992);
F.J. Bermejo, J. Alonso, A. Criado, F.J. Mompean, J.L.
Martinez, M. Garcia–Hernandez, and A. Chahid, Phys. Rev.
B46, 6173 (1992).
20. A.I. Krivchikov, V.G. Manzhelii, O.A. Korolyuk, B.Ya.
Gorodilov, and O.O. Romantsova, Phys. Chem. Chem. Phys.
7, 728 (2005); A.I. Krivchikov, B.Ya. Gorodilov, and O.A.
Korolyuk, Instrum. Exp. Techn. 48, 417 (2005).
21. A.I. Krivchikov, A.N. Yushchenko, O.A. Korolyuk, F.J.
Bermejo, C. Cabrillo, and M.A. Gonzalez, Phys. Rev. B75,
214204 (2007).
22. V.A. Konstantinov, V.G. Manzhelii, M.A. Strzhemechny,
and S.A. Smirnov, Fiz. Nizk. Temp. 14, 90 (1988) [Low
Temp. Phys. 14, 48 (1988)].
23. A. Jagannathan, R. Orbach, and O. Entin-Wohlman, Phys.
Rev. B39, 13465 (1989).
24. H. Boettger and Th. Damker, Phys. Rev. B50, 12509 (1994);
T. Damker, H. B�ttger, and V.V. Bryksin, Phys. Rev. B59,
8626 (1999).
25. Philip B. Allen and Joseph L. Feldman, Phys. Rev. B48,
12581 (1993).
26. Joseph L. Feldman, Mark D. Kluge, Philip B. Allen, and
Frederick Wooten, Phys. Rev. B48, 12589 (1993).
27. P.B. Allen, J.L. Feldman, J. Fabian, and F. Wooten, Phil.
Mag. B79, 1715 (1999).
28. A.J.H. McGaughey and M. Kaviany, Int. J. Heat Mass
Transf. 47, 1783 (2004).
29. Jerzy Bodzenta, Chaos Solitons Fractals 10, 2087 (1999).
30. U. Buchenau, Yu.M. Galperin, V.L. Gurevich, D.A. Par-
shin, M.A. Ramos, and H.R. Schober, Phys. Rev. B46,
2798 (1992); A. Ramos and U. Buchenau, Phys. Rev. B55,
5749 (1997); D.A. Parshin, Phys. Scr. 49A, 180 (1993).
31. D.G. Cahill and R.O. Pohl, Ann. Rev. Phys. Chem. 39,
93 (1988); D.G. Cahill and R.O. Pohl, Phys. Rev. B35,
4067 (1987); D.G. Cahill, S.K. Watson, and R.O. Pohl,
Phys. Rev. B46, 6131 (1992).
32. V.A. Konstantinov, V.G. Manzhelii, V.P. Revyakin, and
V.V. Sagan, Fiz. Nizk. Temp. 31, 553 (2005) [Low Temp.
Phys. 31, 419 (2005)]; V.A. Konstantinov, V.G. Manzhelii,
V.P. Revyakin, and V.V. Sagan, Fiz. Nizk. Temp. 32,
1414 (2006) [Low Temp. Phys. 32, 1076 (2006)]; V.G. Man-
zhelii, V.À. Konstantinov, V.P. Revyakin, V.V. Sagan, and
O.I. Pursky, J. Phys.: Cond. Matt. 18, 9901 (2006).
33. A. Srinivasan, F.J. Bermejo, and A.De Bernabe, Mol. Phys.
87, 1439 (1996).
34. V.A. Konstantinov, E.S. Orel, V.P. Revyakin, Fiz. Nizk.
Temp. 29, 1007 (2003) [Low Temp. Phys. 29, 759 (2003)];
V.A. Konstantinov, Fiz. Nizk. Temp. 29, 567 (2003) [Low
Temp. Phys. 29, 422 (2003)].
384 Fizika Nizkikh Temperatur, 2009, v. 35, No. 4
O.A. Korolyuk, A.I. Krivchikov, I.V. Sharapova, and O.O. Romantsova
|