Table 1.

Overview of tilt-pair statistics

Specimen	Symmetry	Particle size (Å)	Molecular mass (MDa)	Number of tilt pairs	Number of particles	Successful alignment (%)	Angular error (°)
							Mean	Maximum
Rotavirus DLP	I2	700	50	10	95	100/100	0.25	1.0
CAV	I2	255	2.7	1	45	62/82	2.5	3.5
70S ribosomes	C1	270 × 260	2.6	12	220	45/75	4.0	5.0
FAS	D3	260 × 220	2.6	2	44	59/95	4.0	6.0
PDH-E2CD	I1	280	1.6	1	50	62/94	3.0	4.0
Thermus V-ATPase	C1	250 × 140	0.6	1	50	54/80	10.0	16.0
Bovine F-ATPase	C1	250 × 140	0.6	1	29	52/79	20.0	25.0
DNA-PKcs	C1	150 × 120	0.47	14	108	44/81	15.0	17.0
β-Galactosidase	D2	180 × 130 × 95	0.45	2	119	74/91	10.0	14.0

The column labeled “symmetry” gives the particle point-group symmetry where I1 and I2 refer to the two icosahedral axis conventions: I1 is the convention used in the International Tables with a fivefold along the direction (01t) where t = (1 + √5)/2, whereas I2 is that defined earlier by Crowther et al.,² with a fivefold along (10t).

In the column labeled “particle size”, one number is given if the particle is roughly spherical, two numbers when the particle is roughly in the shape of a tall cylinder, and three numbers when the particle is lozenge shaped.

In the column labeled “successful alignment”, the first number describes the percentage of particles whose tilt axis/tilt angle are within a circle whose radius in degrees is given by the number in the last column. The red circles in Figs. 2 to 5 are also drawn to represent this same angular error. The second number describes the percentage of particles whose tilt axis is in the plane of the specimen again to within the same angular error.

The penultimate column gives an estimate of the average angular orientation error derived from the clustering in the TPPP and is slightly smaller than the angle in the final column used to define the overall percentage of success.