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This new value was intermediate between the two earlier definitions, but closer to the one used by chemists (who would be affected the most by the change). [13] [14] The new unit was named the "unified atomic mass unit" and given a new symbol "u", to replace the old "amu" that had been used for the oxygen-based unit. [18]
When charged particles move in electric and magnetic fields the following two laws apply: Lorentz force law: = (+),; Newton's second law of motion: = =; where F is the force applied to the ion, m is the mass of the particle, a is the acceleration, Q is the electric charge, E is the electric field, and v × B is the cross product of the ion's velocity and the magnetic flux density.
The unified atomic mass unit (symbol: u) is equivalent to the dalton. One dalton is approximately the mass of one a single proton or neutron. [2] The unified atomic mass unit has a value of 1.660 538 921 (73) × 10 −27 kg. [3] The amu without the "unified" prefix is an obsolete unit based on oxygen, which was replaced in 1961.
Older (pre-1961) historical relative scales based on the atomic mass unit (symbol: a.m.u. or amu) used either the oxygen-16 relative isotopic mass or else the oxygen relative atomic mass (i.e., atomic weight) for reference. See the article on the history of the modern unified atomic mass unit for the resolution of these problems.
However, because oxygen-17 and oxygen-18 are also present in natural oxygen this led to two different tables of atomic mass. The unified scale based on carbon-12, 12 C, met the physicists' need to base the scale on a pure isotope, while being numerically close to the chemists' scale. This was adopted as the 'unified atomic mass unit'.
In 1959, Shull and Hall [4] advocated atomic units based on Hartree's model but again chose to use as the defining unit. They explicitly named the distance unit a " Bohr radius "; in addition, they wrote the unit of energy as H = m e 4 / ℏ 2 {\displaystyle H=me^{4}/\hbar ^{2}} and called it a Hartree .
In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.For example, the speed of light c may be set to 1, and it may then be omitted, equating mass and energy directly E = m rather than using c as a conversion factor in the typical mass–energy equivalence equation E = mc 2.
"Atomic mass unit" is rarely used in the scientific literature. It is, however, used in some contexts such as some primary schools. "dalton" and "Da" is the prevailing and most common name and symbol for this unit. "unified atomic mass unit" (not to be confused with "atomic mass unit") with its symbol "u" is less commonly used but accepted by SI.