update a few constants and uncertainties with 2022 CODATA (#426)

* update a few constants and uncertainties with 2022 CODATA

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

Author: phlptp

units/unit_definitions.hpp

@@ -826,7 +826,7 @@ namespace precise {
             33.5,
             precise::mega* precise::J};  // liter of gasoline equivalent
         constexpr precise_unit foeb{6.05e6, btu_59};
-        constexpr precise_unit hartree{4.3597447222071e-18, J};
+        constexpr precise_unit hartree{4.3597447222060e-18, J};
         constexpr precise_unit tonhour{3.5168528421, kWh};
 
         constexpr precise_unit scf_mol{1.1953, mol};

units/units.hpp

@@ -2212,14 +2212,15 @@ namespace constants {
     constexpr precise_measurement H0{
         69.8,
         precise::km / precise::s / (precise::mega * precise::distance::parsec)};
+    /// constant values from https://physics.nist.gov/cgi-bin/cuu
     /// Mass of an electron
-    constexpr precise_measurement me{9.1093837015e-31, precise::kg};
+    constexpr precise_measurement me{9.1093837139e-31, precise::kg};
     /// Mass of a proton
-    constexpr precise_measurement mp{1.67262192369e-27, precise::kg};
+    constexpr precise_measurement mp{1.67262192595e-27, precise::kg};
     /// Mass of a neutron
-    constexpr precise_measurement mn{1.67492749804e-27, precise::kg};
+    constexpr precise_measurement mn{1.67492750056e-27, precise::kg};
     /// Bohr radius
-    constexpr precise_measurement a0{5.29177210903e-11, precise::m};
+    constexpr precise_measurement a0{5.29177210544e-11, precise::m};
     /// Faraday's constant
     constexpr precise_measurement F = Na * e;
 
@@ -2247,11 +2248,13 @@ namespace constants {
     }  // namespace planck
     /// measurements related to an electron or atomic measurements
     namespace atomic {  // https://www.bipm.org/en/publications/si-brochure/table7.html
-        constexpr precise_measurement length{5.29177210903e-11, precise::m};
+        constexpr precise_measurement length = a0;
         constexpr precise_measurement mass = me;
         constexpr precise_measurement time{2.4188843265857e-17, precise::s};
         constexpr precise_measurement charge = e;
-        constexpr precise_measurement energy{4.3597443419e-18, precise::J};
+        constexpr precise_measurement energy{
+            precise::energy::hartree.multiplier(),
+            precise::J};
         constexpr precise_measurement action{
             1.054571817e-34,
             precise::J* precise::s};
@@ -2277,10 +2280,10 @@ namespace constants {
             2.8e-40};
         constexpr uncertain_measurement mp{
             measurement_cast(constants::mp),
-            0.51e-36};
+            0.52e-36};
         constexpr uncertain_measurement mn{
             measurement_cast(constants::mn),
-            0.95e-36};
+            0.85e-36};
         constexpr uncertain_measurement alpha{
             measurement_cast(constants::alpha),
             1.1e-12};
@@ -2299,6 +2302,9 @@ namespace constants {
         constexpr uncertain_measurement H0{
             measurement_cast(constants::H0),
             1.7};
+        constexpr uncertain_measurement a0{
+            measurement_cast(constants::a0),
+            8.2e-21};
     }  // namespace uncertain
 }  // namespace constants