Molecular Tomography of the Quantum State by Time-Resolved Electron Diffraction

Table 1

Diagonal density matrix elements for N₂ and CS.

𝑛/𝝆𝑛𝑛	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14
N2 (exp)^a	0.9938	0.0011	0.0102	−0.000	0.001	0.005	−0.009	0.012	−0.011	0.009	−0.005	—	—	—	—
N2 (theor)^b	0.9935	0.0064	0.0000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
CS (nasc)^c	0.000	0.049	0.098	0.156	0.101	0.077	0.061	0.070	0.073	0.077	0.077	0.073	0.067	0.021	0.000
CS (nasc)^d	0.000	0.074	0.148	0.236	0.153	0.116	0.083	0.042	0.042	0.032	0.023	0.023	0.028	—	—
CS (20 ns)^e	0.349	0.260	0.172	0.099	0.053	0.025	0.013	0.000	−0.001	−0.003	0.001	—	—	—	—
CS (40 ns)^e	0.204	0.190	0.160	0.129	0.097	0.075	0.058	0.033	0.005	−0.015	−0.015	—	—	—	—
CS (120 ns)^e	0.173	0.165	0.147	0.124	0.100	0.080	0.058	0.040	0.029	0.021	0.013	—	—	—	—

aValues obtained from experimental electron diffraction intensities of N₂ in an equilibrium Boltzmann distribution recorded at 673 K. Estimated uncertainties are 0.01. ^bValues calculated for a Boltzmann distribution at 𝑇=673 K. ^cValues derived from the nascent ensemble of CS reported in [46]. ^dValues derived from the nascent ensemble of CS reported in [47]. ^eDerived from TRED data of photogenerated CS recorded at 20, 40, and 120 ns after the 193 nm photodissociation of CS₂.