TY - JOUR
T1 - Chirality measures for vectors, matrices, operators and functions
AU - Dryzun, Chaim
AU - Avnir, David
PY - 2011/1/17
Y1 - 2011/1/17
N2 - We introduce the general form of the continuous chirality measure (CCM), which is a quantitative estimation of the degree of chirality for a given object. The generalization makes it possible to calculate the chirality content of any mathematical description of a system by vectors, matrices, operators and functions. Another advantage of the new methodology is the ability to provide analytical expressions for the chirality measures. We apply it for specific cases, including vectors and molecules (amino acids), rotation matrices (metamaterials design), rotational potential operators (representing, for example, parity violation), and functions (the electronic structure of annulenes).
AB - We introduce the general form of the continuous chirality measure (CCM), which is a quantitative estimation of the degree of chirality for a given object. The generalization makes it possible to calculate the chirality content of any mathematical description of a system by vectors, matrices, operators and functions. Another advantage of the new methodology is the ability to provide analytical expressions for the chirality measures. We apply it for specific cases, including vectors and molecules (amino acids), rotation matrices (metamaterials design), rotational potential operators (representing, for example, parity violation), and functions (the electronic structure of annulenes).
KW - amino acids
KW - chirality
KW - electronic structure
KW - parity violation
KW - theoretical chemistry
UR - http://www.scopus.com/inward/record.url?scp=78651421580&partnerID=8YFLogxK
U2 - 10.1002/cphc.201000715
DO - 10.1002/cphc.201000715
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:78651421580
SN - 1439-4235
VL - 12
SP - 197
EP - 205
JO - ChemPhysChem
JF - ChemPhysChem
IS - 1
ER -