Table 2.

Three-dimensional electronic states identified in device A and B.

	Device A								Device A
	[nx, ny, nz]	nz	N	Ne	nie	nio	No		[nx, ny, nz]	nz	N	Ne	nie	nio	No
Charging nz = 0, 1	[1, 1, 0]	0	2		O	O		nz = 3, 4	[4, 1, 3]	3	16		O	O
	[1, 1, 1]	1	3			O			[4, 2, 3]	3	18		O	O
	[2, 2, 1]	1	5		O	O			[5, 1, 3]	3	18			O
	[3, 2, 1]	1	6		O	O			[5, 2, 3]	3	20		O	O
	[4, 2, 1]	1	7		O	O			[5, 3, 3]	3	22			O
	[4, 3, 1]	1	8		O	O			[6, 2, 3]	3	22		O	O
	[5, 2, 1]	1	8		O	O			[5, 4, 3]	3	24		O	O
	[5, 3, 1]	1	9			O			[6, 3, 3]	3	24		O	O
	[6, 1, 1]	1	8		O	O			[6, 4, 3]	3	28		O	O
	[6, 2, 1]	1	9		O	O			[1, 1, 4]	4	6		O	O
	[6, 3, 1]	1	10		O	O			Device B
	[6, 4, 1]	1	11		O	O			[nx, ny, nz]	nz	N	Ne	nie	nio	No
	[7, 4, 1]	1	12		O	O		Charging	[2, 2, 2]	2	6	O	O
nz = 2, 3	[4, 2, 2]	2	8		O				[3, 2, 2]	2	14		O	O
	[4, 3, 2]	2	9		O	O			[3, 3, 3]	3	9			O	O
	[5, 2, 2]	2	9		O	O			[6, 2, 4]	4	24		O
	[4, 4, 2]	2	10		O				[6, 3, 4]	4	28		O	O
	[6, 6, 2]	2	14		O			Discharging	[6, 3, 4]	4	28		O	O
	[1, 1, 3]	3	5			O			[4, 4, 4]	4	12	O	O
	[2, 1, 3]	3	12		O	O			[4, 2, 4]	4	20		O
	[2, 2, 3]	3	7		O	O			[6, 3, 3]	3	24		O	O
	[3, 2, 3]	3	16		O	O			[3, 3, 3]	3	9			O	O

Hierarchy of quantum numbers denoted and classified by N_e, n_ie, and n_io and N_o symbols. N_e has the highest symmetry in a state with all even n_i and n_x = n_y = n_z. n_ie comes as the next with at least one even n_i in a state, n_io is ranked as the third with at least one odd n_i in a state. N_o is the lowest in ranking with all odd n_i and n_x = n_y = n_z in a state. Bold state means doublet states. It is clear that the increment of n_z in charging is much steadier than N.