MPG 11'

Properties:

T

1D Identification

P(x)
P(y)
P(z)
A(x)
A(y)
A(z)
C(x)
C(y)
C(z)

Odd-Order Property

Applied	M1	Checked
E(x) ►
	V(y)	Transverse (Hall-type) voltage
	V(z)
	E(xy)
	E(yx)
	A(y)	Transverse E-induced ferro-rotational vector
	A(z)
	A(xy)
	A(yx)
E(y) ►
	V(x)
	V(z)
	E(xy)
	E(yx)
	A(x)
	A(z)
	A(xy)
	A(yx)
E(z) ►
	V(x)
	V(y)
	E(xy)
	E(yx)
	A(x)
	A(y)
	A(xy)
	A(yx)
E(xy) ►
	V(x)
	V(y)
	V(z)
	E(yx)
	A(x)
	A(y)
	A(z)
	A(yx)
E(yx) ►
	V(x)
	V(y)
	V(z)
	E(xy)
	A(x)
	A(y)
	A(z)
	A(xy)
k(x) ►
	k(y)	Anisotropic conductivity.
	k(z)
	k(xy)
	k(yx)
	M(y)
	M(z)	Transverse current-induced M, Transverse Edelstein effect
	M(xy)
	M(yx)
k(y) ►
	k(x)
	k(z)
	k(xy)
	k(yx)
	M(x)
	M(z)
	M(xy)
	M(yx)
k(z) ►
	k(x)
	k(y)
	k(xy)
	k(yx)
	M(x)
	M(y)
	M(xy)
	M(yx)
k(xy) ►
	k(x)
	k(y)
	k(z)
	k(yx)
	M(x)
	M(y)
	M(z)
	M(yx)
k(yx) ►
	k(x)
	k(y)
	k(z)
	k(xy)
	M(x)
	M(y)
	M(z)
	M(xy)
A(x) ►
	V(y)
	V(z)
	E(xy)
	E(yx)
	A(y)	Shear-stress induced ferro-rotational vector
	A(z)
	A(xy)
	A(yx)
A(y) ►
	V(x)
	V(z)
	E(xy)
	E(yx)
	A(x)
	A(z)
	A(xy)
	A(yx)
A(z) ►
	V(x)
	V(y)
	E(xy)
	E(yx)
	A(x)
	A(y)
	A(xy)
	A(yx)
A(xy) ►
	V(x)
	V(y)
	V(z)
	E(yx)
	A(x)
	A(y)
	A(z)
	A(yx)
A(yx) ►
	V(x)
	V(y)
	V(z)
	E(xy)
	A(x)
	A(y)
	A(z)
	A(xy)
H(x) ►
	k(y)
	k(z)	Transverse magnetotoroidicity (magnetotoroidicity tensor)
	k(xy)
	k(yx)
	M(y)	Transverse magnetic susceptibility
	M(z)
	M(xy)
	M(yx)
H(y) ►
	k(x)
	k(z)
	k(xy)
	k(yx)
	M(x)
	M(z)
	M(xy)
	M(yx)
H(z) ►
	k(x)
	k(y)
	k(xy)
	k(yx)
	M(x)
	M(y)
	M(xy)
	M(yx)
H(xy) ►
	k(x)
	k(y)
	k(z)
	k(yx)
	M(x)
	M(y)
	M(z)
	M(yx)
H(yx) ►
	k(x)
	k(y)
	k(z)
	k(xy)
	M(x)
	M(y)
	M(z)
	M(xy)
C(x) ►
	V(y)
	V(z)
	E(xy)
	E(yx)
	A(y)
	A(z)
	A(xy)
	A(yx)
C(y) ►
	V(x)
	V(z)
	E(xy)
	E(yx)
	A(x)
	A(z)
	A(xy)
	A(yx)
C(z) ►
	V(x)
	V(y)
	E(xy)
	E(yx)
	A(x)
	A(y)
	A(xy)
	A(yx)
C(xy) ►
	V(x)
	V(y)
	V(z)
	E(yx)
	A(x)
	A(y)
	A(z)
	A(yx)
C(yx) ►
	V(x)
	V(y)
	V(z)
	E(xy)
	A(x)
	A(y)
	A(z)
	A(xy)
C'(x) ►
	k(y)
	k(z)
	k(xy)
	k(yx)
	M(y)
	M(z)
	M(xy)
	M(yx)
C'(y) ►
	k(x)
	k(z)
	k(xy)
	k(yx)
	M(x)
	M(z)
	M(xy)
	M(yx)
C'(z) ►
	k(x)
	k(y)
	k(xy)
	k(yx)
	M(x)
	M(y)
	M(xy)
	M(yx)
C'(xy) ►
	k(x)
	k(y)
	k(z)
	k(yx)
	M(x)
	M(y)
	M(z)
	M(yx)
C'(yx) ►
	k(x)
	k(y)
	k(z)
	k(xy)
	M(x)
	M(y)
	M(z)
	M(xy)
D'(x) ►
	k(y)
	k(z)
	k(xy)
	k(yx)
	M(y)
	M(z)
	M(xy)
	M(yx)
D'(y) ►
	k(x)
	k(z)
	k(xy)
	k(yx)
	M(x)
	M(z)
	M(xy)
	M(yx)
D'(z) ►
	k(x)
	k(y)
	k(xy)
	k(yx)
	M(x)
	M(y)
	M(xy)
	M(yx)
D'(xy) ►
	k(x)
	k(y)
	k(z)
	k(yx)
	M(x)
	M(y)
	M(z)
	M(yx)
D'(yx) ►
	k(x)
	k(y)
	k(z)
	k(xy)
	M(x)
	M(y)
	M(z)
	M(xy)

Longitudinal Property

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