c5 - Point Group Symmetry Character Tables - Chemistry Online Education

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Linear
C_∞v
D_∞h

C₅ Point Group

Abelian, 3(5) irreducible representations

Character table for C₅ point group

	E	C₅	(C₅)²	(C₅)³	(C₅)⁴	linear, rotations	quadratic
A	1	1	1	1	1	z, R_z	x²+y², z²
E₁	1 1	e e^*	e² e^2*	e^2* e²	e^* e	x+iy, R_x+iR_y x-iy, R_x-iR_y	(yz, xz)
E₂	1 1	e² e^2*	e^* e	e e^*	e^2* e²		(x²-y², xy)

Product table for C₅ point group

Printable: character table for C₅ product table for C₅ C₅ point group