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MPG 2y

Properties:

Ry

1D Identification

  • P(y)
  • P'(y)
  • A(y)
  • A'(y)
  • C(x)
  • C(y)
  • C(z)
  • C'(x)
  • C'(y)
  • C'(z)
  • D'(x)
  • D'(y)
  • D'(z)

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
V(z)
k(z)
A(z)
M(z)Transverse magnetoelectric effect
E(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
E(z) ►
V(x)
k(x)
A(x)
M(x)
E(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
E(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
k(x) ►
V(z)
k(z)
A(z)
M(z)Transverse current-induced M, Transverse Edelstein effect
k(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
k(z) ►
V(x)
k(x)
A(x)
M(x)
k(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
k(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
A(x) ►
V(z)
k(z)Shear-stress induced toroidicity (nonreciprocity) (piezotoroidic tensor)
A(z)
M(z)Shear-stress induced M (piezomagnetic tensor)
A(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
A(z) ►
V(x)
k(x)
A(x)
M(x)
A(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
A(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
H(x) ►
V(z)
k(z)Transverse magnetotoroidicity (magnetotoroidicity tensor)
A(z)
M(z)
H(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
H(z) ►
V(x)
k(x)
A(x)
M(x)
H(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
H(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
C(x) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)Chiral light or torsional strain induced M, inverse Faraday effect
M(xy)
M(yx)
C(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
C(z) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)
M(xy)
M(yx)
C(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
C(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
C'(x) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)
M(xy)
M(yx)
C'(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
C'(z) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)
M(xy)
M(yx)
C'(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
C'(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)
D'(x) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)
M(xy)
M(yx)
D'(y) ►
E(xy)
E(yx)
k(xy)
k(yx)
A(xy)
A(yx)
M(xy)
M(yx)
D'(z) ►
V(y)
E(xy)
E(yx)
k(y)
k(xy)
k(yx)
A(y)
A(xy)
A(yx)
M(y)
M(xy)
M(yx)
D'(xy) ►
V(y)
E(yx)
k(y)
k(yx)
A(y)
A(yx)
M(y)
M(yx)
D'(yx) ►
V(y)
E(xy)
k(y)
k(xy)
A(y)
A(xy)
M(y)
M(xy)

Longitudinal Property

Primary Secondary
P(x)P'(x), A(x), A'(x)
P(y)P'(y), A(y), A'(y), C(y), C'(y), D'(y)
P(z)P'(z), A(z), A'(z)
P'(x)A(x), A'(x)
P'(y)A(y), A'(y), C(y), C'(y), D'(y)
P'(z)A(z), A'(z)
A(x)A'(x)
A(y)A'(y), C(y), C'(y), D'(y)
A(z)A'(z)
A'(y)C(y), C'(y), D'(y)
C(x)C'(x), D'(x)
C(y)C'(y), D'(y)
C(z)C'(z), D'(z)
C'(x)D'(x)
C'(y)D'(y)
C'(z)D'(z)

Full Rank Property

Initial Subtracted
P(x)P'(x), A(x), A'(x)
P'(x)P(x), A(x), A'(x)
A(x)P(x), P'(x), A'(x)
A'(x)P(x), P'(x), A(x)
C(x)P(x), P'(x), A(x), A'(x), C'(x), D'(x)
C'(x)P(x), P'(x), A(x), A'(x), C(x), D'(x)
D'(x)P(x), P'(x), A(x), A'(x), C(x), C'(x)
P(y)P'(y), A(y), A'(y), C(y), C'(y), D'(y)
P'(y)P(y), A(y), A'(y), C(y), C'(y), D'(y)
A(y)P(y), P'(y), A'(y), C(y), C'(y), D'(y)
A'(y)P(y), P'(y), A(y), C(y), C'(y), D'(y)
C(y)P(y), P'(y), A(y), A'(y), C'(y), D'(y)
C'(y)P(y), P'(y), A(y), A'(y), C(y), D'(y)
D'(y)P(y), P'(y), A(y), A'(y), C(y), C'(y)
P(z)P'(z), A(z), A'(z)
P'(z)P(z), A(z), A'(z)
A(z)P(z), P'(z), A'(z)
A'(z)P(z), P'(z), A(z)
C(z)P(z), P'(z), A(z), A'(z), C'(z), D'(z)
C'(z)P(z), P'(z), A(z), A'(z), C(z), D'(z)
D'(z)P(z), P'(z), A(z), A'(z), C(z), C'(z)