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Legendre polynomials simulation

Simulations have also been used to examine the local dynamics of individual ions in the liquid state. In an early study from Lynden-Bell s group [12], rotational dynamics of the cations and anions of [EMIM][d] and [MMIM][PF6] were examined by computing averages of the Legendre polynomials Pi (cos 9 t)) and Pi (cos P (t)) as a function of time, where 9 (t) is the angle moved through by one of three orthogonal vectors associated with an ion. The decorrelation of these order parameters was fitted to an exponential, and rotational relaxation times ti and ti were determined. At... [Pg.233]

In a computer simulation one measures the CH vector autocorrelation function and determines the second Legendre polynomial according to... [Pg.151]


See other pages where Legendre polynomials simulation is mentioned: [Pg.73]    [Pg.201]    [Pg.249]    [Pg.31]    [Pg.2237]    [Pg.458]    [Pg.407]    [Pg.234]    [Pg.19]    [Pg.366]    [Pg.3051]    [Pg.3057]    [Pg.303]    [Pg.110]    [Pg.205]    [Pg.454]    [Pg.1879]    [Pg.244]    [Pg.117]    [Pg.622]    [Pg.1875]   
See also in sourсe #XX -- [ Pg.42 , Pg.43 , Pg.44 , Pg.45 , Pg.46 , Pg.47 , Pg.48 , Pg.49 , Pg.50 ]




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