Purpose of Module

Module ClassMC samples the system phase space using the classical Boltzmann distribution function and calculates the time correlation functions from the sampled initial conditions. The sampling is achieved by the Monte Carlo Metropolis algorithm. The corresponding system properties can be calculated from the sampled phase space with appropriate operators. The sampled phase space points can be propagated in time using classical molecular dynamics in order to investigate the time evolution of the system and calculate the corresponding correlation functions. Currently the electric dipole moment operator is implemented for the calculation of electric dipole moment autocorrelation functions from which system IR spectra can be directly obtained. The system potential energy is calculated using external subroutines provided by the user. Example external subroutines are provided for the \text{OH} and \text{CH}_{4} systems, with potential energies are described by an harmonic potential, and the electric dipole moments by point charge approximation. An external subroutines for calculation of \text{CH}_{5}^{+} system potential energy and electric dipole moment, based on fitted values, is also given.

Applications of the Module

The main application of ClassMC code is classical sampling of the system’s phase space and computing classical observables, which are necessary for comparison with the real experimental data or quantum simulations in order to detect and explain the, sometimes hardly detectable, quantum effects which are responsible for exact system properties. In this respect, the ClassMC module was extensively used in the study of the \text{CH}_{5}^{+} system classical distribution and its classically obtained infrared spectrum in order to identify the quantum tunnelling effects responsible for the redshift of C-H stretching bands and the overall shape of the infrared spectrum.


Fortran compiler with a MPI wrapper together with lapack libraries have to be available to successfully compile the code. The user is advised to examine the Makefile in the ./source` sub-directory prior to code compilation in order to select an appropriate compiler and to check or adapt the compiler options to his local environment, or to generally modify the compiler options to his requirements. Upon adapting the Makefile, the code compilation is executed by command make in the ./source sub-directory:

cd source


An executable ClassMCRun.exe is created upon successful compilation.


For ClassMC test purposes the numdiff package is used for automatic comparison purposes and should be made available before running the tests, otherwise the diff command will be used automatically instead but the user is warned that the test might fail due to numerical differences. The user is advised to download and install numdiff from here. Tests and corresponding reference values are located in sub-directories ./tests/xxx/CLASSICAL, where xxx stands for oh, ch4, and ch5 systems. Before running the tests the module ClassMC has to be properly compiled by running the make command in the ./source sub-directory. Tests can be executed automatically by running the command ./ in the ./tests sub-directory for all three systems, or separately for each system by running the command ./ within the corresponding system CLASSICAL sub-directory:

cd tests

./ [number of cores]

Tests are by default executed on two processor cores. This can be changed by setting the value of required cores as an integer number after the command ./ (example ./ 20, for the use of 20 processor cores in the test). The number of processor cores should not exceed 50. Due to small numerical discrepancies between generated outputs and reference values which can cause the tests to fail, the user is advised to manually examine the numerical differences between generated output and the corresponding reference values in case the tests fail.

Source Code

The ClassMC module source code is located at:

Source Code Documentation

The source code documentation is given at The documentation files (html and latex format) are obtained by executing the make command in the ./doc directory:

cd ./doc