6Li(1+) -- NV2+3-Ia* -- 04-Oct-24 VMC 200k samples symmetry states: 3S[2] 3D[2] 1P[11] R = radius in fm RHORP = proton density in 1/fm**3 DRHORP = Monte Carlo error (1 sigma) Normalization 4*PI*TOTINT(RHORP*R**2:R) = 2.9982 point rms radii SQRT(4*PI*TOTINT(RHORP*R**4:R)/3) = 2.4361 VMC code gives directly computed values (not through binned densities): rmsp = 2.4363 (0.0061) drms = 0.0000 (0.0000) rmsn = 2.4363 (0.0061) finite size effects for charge radius (including Rp, Rn, DF): R2P = 5.9346 SQRT(R2P) = 2.4361 DRRC2_GAL = .58896 SQRT(R2P+DRRC2_GAL) = 2.5541 DRRC2_KEL = .66597 SQRT(R2P+DRRC2_KEL) = 2.5692 DRRC2_PDG = .62481 SQRT(R2P+DRRC2_PDG) = 2.5611 R RHORP DRHORP ***** ********* ********* .05 .1092 .00811 .15 .0883 .00276 .25 .0916 .001703 .35 .0886 .001196 .45 .0842 9.09E-4 .55 .0822 7.37E-4 .65 .0788 6.11E-4 .75 .0755 5.2E-4 .85 .0706 4.45E-4 .95 .0665 3.87E-4 1.05 .0617 3.37E-4 1.15 .0574 2.98E-4 1.25 .0534 2.63E-4 1.35 .0491 2.35E-4 1.45 .0442 2.083E-4 1.55 .0405 1.867E-4 1.65 .0365 1.66E-4 1.75 .0329 1.488E-4 1.85 .0295 1.334E-4 1.95 .0261 1.195E-4 2.05 .023 1.069E-4 2.15 .02013 9.58E-5 2.25 .01752 8.58E-5 2.35 .0155 7.77E-5 2.45 .01326 6.92E-5 2.55 .01144 6.2E-5 2.65 .00979 5.54E-5 2.75 .00843 4.97E-5 2.85 .00715 4.44E-5 2.95 .00612 3.98E-5 3.05 .00524 3.57E-5 3.15 .00445 3.192E-5 3.25 .003782 2.87E-5 3.35 .003226 2.57E-5 3.45 .002682 2.277E-5 3.55 .002336 2.065E-5 3.65 .001976 1.842E-5 3.75 .001685 1.663E-5 3.85 .001433 1.485E-5 3.95 .001235 1.346E-5 4.05 .00106 1.214E-5 4.15 8.98E-4 1.089E-5 4.25 7.574E-4 9.71E-6 4.35 6.422E-4 8.73E-6 4.45 5.49E-4 7.86E-6 4.55 4.743E-4 7.16E-6 4.65 3.93E-4 6.358E-6 4.75 3.309E-4 5.687E-6 4.85 2.851E-4 5.147E-6 4.95 2.364E-4 4.602E-6 5.05 2.019E-4 4.145E-6 5.15 1.675E-4 3.682E-6 5.25 1.5059E-4 3.43E-6 5.35 1.1985E-4 3.012E-6 5.45 1.0332E-4 2.721E-6 5.55 8.424E-5 2.432E-6 5.65 7.151E-5 2.193E-6 5.75 6.063E-5 1.987E-6 5.85 5.18E-5 1.796E-6 5.95 4.427E-5 1.629E-6 6.05 3.703E-5 1.471E-6 6.15 3.097E-5 1.311E-6 6.25 2.605E-5 1.208E-6 6.35 2.283E-5 1.0901E-6 6.45 1.9796E-5 1.0066E-6 6.55 1.3631E-5 8.31E-7 6.65 1.2582E-5 7.804E-7 6.75 1.0782E-5 7.105E-7 6.85 9.288E-6 6.489E-7 6.95 7.087E-6 5.575E-7 7.05 8.007E-6 5.771E-7 7.15 4.9E-6 4.512E-7 7.25 4.693E-6 4.373E-7 7.35 4.165E-6 4.114E-7 7.45 3.513E-6 3.746E-7 7.55 2.442E-6 3.017E-7 7.65 2.143E-6 2.803E-7 7.75 1.3953E-6 2.251E-7 7.85 1.481E-6 2.355E-7 7.95 1.3889E-6 2.144E-7 8.05 9.521E-7 1.7343E-7 8.15 7.185E-7 1.571E-7 8.25 7.889E-7 1.56E-7 8.35 5.996E-7 1.346E-7 8.45 5.572E-7 1.257E-7 8.55 3.806E-7 1.0432E-7 8.65 3.718E-7 1.0113E-7 8.75 2.341E-7 7.838E-8 8.85 2.0345E-7 7.193E-8 8.95 3.476E-7 9.405E-8 9.05 2.669E-7 8.176E-8 9.15 2.377E-7 7.571E-8 9.25 6.972E-8 4.037E-8 9.35 1.823E-7 6.559E-8 9.45 4.451E-8 3.153E-8 9.55 4.3605E-8 3.0958E-8 9.65 1.28E-7 5.259E-8 9.75 0 0 9.85 6.155E-8 3.561E-8 9.95 0 0 10.05 3.941E-8 2.813E-8 10.15 0 0 10.25 0 0 10.35 0 0 10.45 1.8243E-8 1.8243E-8 10.55 1.784E-8 1.784E-8 10.65 0 0 10.75 0 0 10.85 1.6887E-8 1.6887E-8 10.95 0 0 11.05 0 0 11.15 3.205E-8 2.2644E-8 11.25 0 0 11.35 0 0 11.45 0 0 11.55 0 0 11.65 0 0 11.75 0 0 11.85 0 0 11.95 0 0 12.05 0 0 12.15 0 0 12.25 0 0 12.35 0 0 12.45 0 0 12.55 0 0 12.65 0 0 12.75 0 0 12.85 0 0 12.95 0 0 13.05 0 0 13.15 0 0 13.25 0 0 13.35 0 0 13.45 0 0 13.55 0 0 13.65 0 0 13.75 0 0 13.85 0 0 13.95 0 0 14.05 0 0 14.15 0 0 14.25 0 0 14.35 0 0 14.45 0 0 14.55 0 0 14.65 0 0 14.75 0 0 14.85 0 0 14.95 0 0 15.05 0 0 15.15 0 0 15.25 0 0 15.35 0 0 15.45 0 0 15.55 0 0 15.65 0 0 15.75 0 0 15.85 0 0 15.95 0 0 16.05 0 0 16.15 0 0 16.25 0 0 16.35 0 0 16.45 0 0 16.55 0 0 16.65 0 0 16.75 0 0 16.85 0 0 16.95 0 0 17.05 0 0 17.15 0 0 17.25 0 0 17.35 0 0 17.45 0 0 17.55 0 0 17.65 0 0 17.75 0 0 17.85 0 0 17.95 0 0 18.05 0 0 18.15 0 0 18.25 0 0 18.35 0 0 18.45 0 0 18.55 0 0 18.65 0 0 18.75 0 0 18.85 0 0 18.95 0 0 19.05 0 0 19.15 0 0 19.25 0 0 19.35 0 0 19.45 0 0 19.55 0 0 19.65 0 0 19.75 0 0 19.85 0 0 19.95 0 0 20.05 0 0 RHORPU = proton up-spin density in 1/fm**3 DRHORPU = Monte Carlo error bar (1 sigma) RHORPD = proton down-spin density in 1/fm**3 DRHORPD = Monte Carlo error bar (1 sigma) RHORPL = proton orbital density in 1/fm**3 DRHORPL = proton down-spin density in 1/fm**3 Note RHORNU = RHORPU RHORND = RHORPD RHORNL = RHORPL Normalization 4*PI*TOTINT(RHORPU*R**2:R) = 1.9271 4*PI*TOTINT(RHORPD*R**2:R) = 1.0711 Proton orbital contribution to magnetic moment 4*PI*TOTINT(RHORPL*R**2:R) = .071712 Proton spin contribution to magnetic moment MUP*4*PI*TOTINT((RHORPU-RHORPD)*R**2:R) = 2.3905 Neutron spin contribution to magnetic moment MUN*4*PI*TOTINT((RHORNU-RHORND)*R**2:R) = -1.6374 Total impulse magnetic moment MULI6 = .82475 point magnetic radius RMU2LI6=4*PI*TOTINT((RHORPL/3+MUP*(RHORPU-RHORPD)+MUN*(RHORNU-RHORND))*R**4:R)/MULI6 RMU2LI6 = 9.8883 SQRT(RMU2LI6) = 3.1446 VMC code gives directly computed values (not through binned densities): mu = 0.8253 (0.0001) mul = 0.0717 (0.0002) mup = 2.3922 (0.0009) mun = -1.6386 (0.0006) rmsmp= 3.1440 (0.0083) finite size effects for magnetic radius (including Rmp, Rmn, Rep, Ren): DRRM2_GAL = .66076 SQRT(RMU2LI6+DRRM2_GAL) = 3.2479 DRRM2_KEL = .50603 SQRT(RMU2LI6+DRRM2_KEL) = 3.224 DRRM2_PDG = .66841 SQRT(RMU2LI6+DRRM2_PDG) = 3.2491 R RHORPU DRHORPU RHORPD DRHORPD RHORPL DRHORPL ***** ******* ******* ******** ******** ********* ******** .05 .0494 .00367 .0598 .00444 1.83E-5 1.2E-5 .15 .0397 .00124 .0486 .00152 -8.81E-6 7.97E-6 .25 .0416 7.74E-4 .05 9.29E-4 -1.81E-5 7.82E-6 .35 .0404 5.47E-4 .0482 6.49E-4 -1.27E-5 7.59E-6 .45 .0389 4.21E-4 .0453 4.88E-4 -2.95E-5 7.6E-6 .55 .0385 3.46E-4 .0437 3.91E-4 -4.82E-5 7.27E-6 .65 .0374 2.91E-4 .0414 3.2E-4 -6.35E-5 7.26E-6 .75 .0364 2.52E-4 .0391 2.68E-4 -1.29E-4 7.57E-6 .85 .0347 2.2E-4 .0359 2.25E-4 -1.42E-4 7.3E-6 .95 .0333 1.95E-4 .0332 1.92E-4 -1.7E-4 7.53E-6 1.05 .0315 1.73E-4 .0302 1.64E-4 -1.85E-4 7.29E-6 1.15 .0299 1.56E-4 .0275 1.42E-4 -1.68E-4 7.39E-6 1.25 .0285 1.41E-4 .0249 1.22E-4 -1.58E-4 7.57E-6 1.35 .0267 1.28E-4 .0224 1.07E-4 -8.79E-5 7.58E-6 1.45 .0246 1.16E-4 .0196 9.23E-5 -3.62E-5 7.56E-6 1.55 .023 1.06E-4 .0175 8.07E-5 4.36E-5 7.51E-6 1.65 .0211 9.56E-5 .0154 7.04E-5 1.09E-4 7.45E-6 1.75 .0194 8.7E-5 .0135 6.18E-5 1.78E-4 7.54E-6 1.85 .0177 7.92E-5 .0118 5.42E-5 2.33E-4 7.36E-6 1.95 .016 7.22E-5 .0101 4.73E-5 2.81E-4 7.2E-6 2.05 .0143 6.54E-5 .0087 4.15E-5 3.35E-4 6.94E-6 2.15 .0128 5.96E-5 .00733 3.62E-5 3.55E-4 6.81E-6 2.25 .0113 5.4E-5 .00622 3.18E-5 3.82E-4 6.53E-6 2.35 .0102 4.97E-5 .0053 2.8E-5 3.82E-4 6.32E-6 2.45 .00889 4.49E-5 .00437 2.43E-5 3.73E-4 6.09E-6 2.55 .00781 4.08E-5 .00363 2.12E-5 3.66E-4 5.77E-6 2.65 .0068 3.7E-5 .00299 1.84E-5 3.52E-4 5.53E-6 2.75 .00598 3.38E-5 .00245 1.59E-5 3.34E-4 5.28E-6 2.85 .00516 3.06E-5 .00199 1.38E-5 3.12E-4 4.94E-6 2.95 .0045 2.79E-5 .00162 1.19E-5 2.89E-4 4.6E-6 3.05 .00393 2.54E-5 .00131 1.03E-5 2.67E-4 4.38E-6 3.15 .0034 2.31E-5 .00105 8.82E-6 2.42E-4 4E-6 3.25 .00294 2.11E-5 8.42E-4 7.6E-6 2.19E-4 3.77E-6 3.35 .00255 1.92E-5 6.76E-4 6.5E-6 1.97E-4 3.6E-6 3.45 .00216 1.73E-5 5.22E-4 5.47E-6 1.77E-4 3.37E-6 3.55 .00191 1.59E-5 4.26E-4 4.75E-6 1.66E-4 3.1E-6 3.65 .00164 1.44E-5 3.36E-4 4.02E-6 1.48E-4 2.91E-6 3.75 .00141 1.31E-5 2.75E-4 3.53E-6 1.25E-4 2.52E-6 3.85 .00122 1.19E-5 2.13E-4 2.95E-6 1.15E-4 2.44E-6 3.95 .00106 1.09E-5 1.75E-4 2.56E-6 9.81E-5 2.19E-6 4.05 9.22E-4 9.97E-6 1.38E-4 2.17E-6 9E-5 2.05E-6 4.15 7.88E-4 9.02E-6 1.1E-4 1.87E-6 7.84E-5 1.87E-6 4.25 6.7E-4 8.13E-6 8.74E-5 1.58E-6 6.51E-5 1.64E-6 4.35 5.73E-4 7.38E-6 6.92E-5 1.35E-6 5.8E-5 1.55E-6 4.45 4.93E-4 6.7E-6 5.6E-5 1.16E-6 5.36E-5 1.45E-6 4.55 4.28E-4 6.14E-6 4.63E-5 1.02E-6 4.46E-5 1.29E-6 4.65 3.57E-4 5.5E-6 3.6E-5 8.58E-7 3.81E-5 1.17E-6 4.75 3.02E-4 4.96E-6 2.89E-5 7.27E-7 3.18E-5 1.02E-6 4.85 2.62E-4 4.52E-6 2.31E-5 6.27E-7 2.53E-5 8.73E-7 4.95 2.18E-4 4.07E-6 1.84E-5 5.32E-7 2.19E-5 8.18E-7 5.05 1.87E-4 3.68E-6 1.49E-5 4.65E-7 1.76E-5 6.84E-7 5.15 1.56E-4 3.3E-6 1.15E-5 3.82E-7 1.54E-5 6.47E-7 5.25 1.41E-4 3.1E-6 9.59E-6 3.3E-7 1.36E-5 6.42E-7 5.35 1.12E-4 2.71E-6 7.85E-6 3.02E-7 1.13E-5 5.4E-7 5.45 9.73E-5 2.48E-6 6.02E-6 2.41E-7 9.14E-6 4.24E-7 5.55 7.91E-5 2.2E-6 5.14E-6 2.32E-7 7.43E-6 4.05E-7 5.65 6.74E-5 2E-6 4.11E-6 1.93E-7 5.63E-6 3.34E-7 5.75 5.71E-5 1.81E-6 3.53E-6 1.77E-7 4.74E-6 3.03E-7 5.85 4.89E-5 1.64E-6 2.9E-6 1.56E-7 4.54E-6 3.07E-7 5.95 4.19E-5 1.5E-6 2.37E-6 1.29E-7 3.73E-6 2.7E-7 6.05 3.51E-5 1.35E-6 1.93E-6 1.21E-7 3.06E-6 2.6E-7 6.15 2.94E-5 1.21E-6 1.57E-6 1.01E-7 2.41E-6 2.09E-7 6.25 2.47E-5 1.1E-6 1.35E-6 1.08E-7 1.73E-6 1.65E-7 6.35 2.17E-5 1.01E-6 1.13E-6 8.01E-8 1.92E-6 1.86E-7 6.45 1.89E-5 9.33E-7 8.96E-7 7.36E-8 1.49E-6 1.39E-7 6.55 1.29E-5 7.62E-7 7.31E-7 6.9E-8 1.27E-6 1.36E-7 6.65 1.19E-5 7.17E-7 6.82E-7 6.34E-8 8.63E-7 9.42E-8 6.75 1.02E-5 6.54E-7 5.82E-7 5.65E-8 8.76E-7 1.47E-7 6.85 8.88E-6 6.03E-7 4.08E-7 4.59E-8 7.32E-7 9.61E-8 6.95 6.74E-6 5.17E-7 3.47E-7 4.05E-8 5.57E-7 8.65E-8 7.05 7.61E-6 5.38E-7 3.97E-7 3.91E-8 6.61E-7 9.02E-8 7.15 4.66E-6 4.16E-7 2.4E-7 3.52E-8 3.8E-7 7.58E-8 7.25 4.48E-6 4.05E-7 2.13E-7 3.23E-8 3.46E-7 7.56E-8 7.35 3.94E-6 3.72E-7 2.25E-7 3.94E-8 3.67E-7 8E-8 7.45 3.32E-6 3.37E-7 1.93E-7 3.76E-8 1.6E-7 7.56E-8 7.55 2.31E-6 2.77E-7 1.32E-7 2.47E-8 1.97E-7 4.25E-8 7.65 2.03E-6 2.56E-7 1.13E-7 2.43E-8 1.88E-7 6.37E-8 7.75 1.33E-6 2.05E-7 6.53E-8 2.01E-8 5.95E-8 1.79E-8 7.85 1.39E-6 2.1E-7 9.1E-8 2.55E-8 8.59E-8 1.83E-8 7.95 1.32E-6 1.99E-7 6.89E-8 1.54E-8 8.93E-8 2.18E-8 8.05 9.19E-7 1.65E-7 3.31E-8 8.43E-9 3.87E-8 8.75E-9 8.15 6.62E-7 1.36E-7 5.65E-8 2.11E-8 4.31E-8 1.67E-8 8.25 7.46E-7 1.44E-7 4.29E-8 1.2E-8 1.06E-7 5.5E-8 8.35 5.67E-7 1.24E-7 3.26E-8 1.06E-8 7.29E-8 3.35E-8 8.45 5.4E-7 1.21E-7 1.72E-8 4.7E-9 3.33E-8 1.23E-8 8.55 3.66E-7 9.8E-8 1.46E-8 6.32E-9 4.01E-8 2.6E-8 8.65 3.56E-7 9.53E-8 1.58E-8 5.83E-9 2.75E-8 1.37E-8 8.75 2.29E-7 7.63E-8 5.1E-9 2.08E-9 1.02E-8 3.83E-9 8.85 2E-7 7.06E-8 3.45E-9 1.33E-9 5.13E-9 2.07E-9 8.95 3.32E-7 8.88E-8 1.56E-8 5.25E-9 1.76E-8 5.2E-9 9.05 2.51E-7 7.58E-8 1.59E-8 5.96E-9 1.35E-8 5.02E-9 9.15 2.27E-7 7.18E-8 1.07E-8 3.91E-9 2.91E-8 1.87E-8 9.25 6.69E-8 3.86E-8 2.82E-9 1.77E-9 3.13E-9 2.07E-9 9.35 1.76E-7 6.22E-8 6.3E-9 3.39E-9 6.64E-9 3.43E-9 9.45 4.24E-8 3E-8 2.11E-9 1.53E-9 2.49E-9 1.87E-9 9.55 4.28E-8 3.03E-8 8.05E-10 6.58E-10 7.42E-10 6.17E-10 9.65 1.24E-7 5.07E-8 4E-9 1.89E-9 6.52E-9 3.05E-9 9.75 0 0 0 0 0 0 9.85 6.05E-8 3.49E-8 1.05E-9 7.1E-10 4.28E-9 3.34E-9 9.95 0 0 0 0 0 0 10.05 3.79E-8 2.68E-8 1.51E-9 1.33E-9 1.87E-9 1.65E-9 10.15 0 0 0 0 0 0 10.25 0 0 0 0 0 0 10.35 0 0 0 0 0 0 10.45 1.76E-8 1.76E-8 6.43E-10 6.43E-10 6.35E-10 6.35E-10 10.55 1.74E-8 1.74E-8 4.4E-10 4.4E-10 5.47E-10 5.47E-10 10.65 0 0 0 0 0 0 10.75 0 0 0 0 0 0 10.85 1.64E-8 1.64E-8 4.87E-10 4.87E-10 4.81E-10 4.81E-10 10.95 0 0 0 0 0 0 11.05 0 0 0 0 0 0 11.15 3.1E-8 2.19E-8 1.05E-9 7.44E-10 1.01E-9 7.15E-10 11.25 0 0 0 0 0 0 11.35 0 0 0 0 0 0 11.45 0 0 0 0 0 0 11.55 0 0 0 0 0 0 11.65 0 0 0 0 0 0 11.75 0 0 0 0 0 0 11.85 0 0 0 0 0 0 11.95 0 0 0 0 0 0 12.05 0 0 0 0 0 0 12.15 0 0 0 0 0 0 12.25 0 0 0 0 0 0 12.35 0 0 0 0 0 0 12.45 0 0 0 0 0 0 12.55 0 0 0 0 0 0 12.65 0 0 0 0 0 0 12.75 0 0 0 0 0 0 12.85 0 0 0 0 0 0 12.95 0 0 0 0 0 0 13.05 0 0 0 0 0 0 13.15 0 0 0 0 0 0 13.25 0 0 0 0 0 0 13.35 0 0 0 0 0 0 13.45 0 0 0 0 0 0 13.55 0 0 0 0 0 0 13.65 0 0 0 0 0 0 13.75 0 0 0 0 0 0 13.85 0 0 0 0 0 0 13.95 0 0 0 0 0 0 14.05 0 0 0 0 0 0 14.15 0 0 0 0 0 0 14.25 0 0 0 0 0 0 14.35 0 0 0 0 0 0 14.45 0 0 0 0 0 0 14.55 0 0 0 0 0 0 14.65 0 0 0 0 0 0 14.75 0 0 0 0 0 0 14.85 0 0 0 0 0 0 14.95 0 0 0 0 0 0 15.05 0 0 0 0 0 0 15.15 0 0 0 0 0 0 15.25 0 0 0 0 0 0 15.35 0 0 0 0 0 0 15.45 0 0 0 0 0 0 15.55 0 0 0 0 0 0 15.65 0 0 0 0 0 0 15.75 0 0 0 0 0 0 15.85 0 0 0 0 0 0 15.95 0 0 0 0 0 0 16.05 0 0 0 0 0 0 16.15 0 0 0 0 0 0 16.25 0 0 0 0 0 0 16.35 0 0 0 0 0 0 16.45 0 0 0 0 0 0 16.55 0 0 0 0 0 0 16.65 0 0 0 0 0 0 16.75 0 0 0 0 0 0 16.85 0 0 0 0 0 0 16.95 0 0 0 0 0 0 17.05 0 0 0 0 0 0 17.15 0 0 0 0 0 0 17.25 0 0 0 0 0 0 17.35 0 0 0 0 0 0 17.45 0 0 0 0 0 0 17.55 0 0 0 0 0 0 17.65 0 0 0 0 0 0 17.75 0 0 0 0 0 0 17.85 0 0 0 0 0 0 17.95 0 0 0 0 0 0 18.05 0 0 0 0 0 0 18.15 0 0 0 0 0 0 18.25 0 0 0 0 0 0 18.35 0 0 0 0 0 0 18.45 0 0 0 0 0 0 18.55 0 0 0 0 0 0 18.65 0 0 0 0 0 0 18.75 0 0 0 0 0 0 18.85 0 0 0 0 0 0 18.95 0 0 0 0 0 0 19.05 0 0 0 0 0 0 19.15 0 0 0 0 0 0 19.25 0 0 0 0 0 0 19.35 0 0 0 0 0 0 19.45 0 0 0 0 0 0 19.55 0 0 0 0 0 0 19.65 0 0 0 0 0 0 19.75 0 0 0 0 0 0 19.85 0 0 0 0 0 0 19.95 0 0 0 0 0 0 20.05 0 0 0 0 0 0