Kinetic MQSM

Although we have addressed up to now mostly the electron density, several studies have reported the use of some derived entity in lieu of the electron density. In fact, such a case has already been introduced in the so-called kinetic MQSM of Eq. [27], where we use the gradient of the electron density. This process is also true for those situations in which extended density functions are used in which several new density functions were derived from extended Hilbert space. ... 

This is certainly not the only possibility, and MQSM can be defined using many choices of il(ir,r2) provided it remains positive definite. Examples include the Coulomb MQSM and kinetic QSM. In case of the Coulomb operator, one does not perform the point-by-point similarity calculation as in Equation 16.4 but introduces weighting of the surrounding points using as an operator ... 

A third positive definite operator is a kinetic energy-like expression, where the following MQSM is introduced ... 

Some limitations of the empirical equations could be eliminated when using a semi-empirical approach, with the process model built on the theory of heat and mass transfer, but model parameters determined from experiments. A good example is the so-called modified quasi-stationary method (MQSM) that has been used to model drying kinetics of different materials (Efremov, 1999 Efremov and Kudra, 2005). The MQSM is resulting in the following equation for drying kinetics... 

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