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If the nucleus is assumed to be spherically symmetric, an approximate relationship between nuclear radius and mass number arises above A=40 from the formula R=R o A 1/3 with R o = 1.2 ± 0.2 fm. [6] R is the predicted spherical nuclear radius, A is the mass number, and R o is a constant determined by experimental data.
Diagram of the nucleus showing the ribosome-studded outer nuclear membrane, nuclear pores, DNA (complexed as chromatin), and the nucleolus. The nucleus contains nearly all of the cell's DNA, surrounded by a network of fibrous intermediate filaments called the nuclear matrix, and is enveloped in a double membrane called the nuclear envelope.
The atomic nucleus is a quantum n-body system. The internal motion of nucleons within the nucleus is non-relativistic, and their behavior is governed by the Schrödinger equation. Nucleons are considered to be pointlike, without any internal structure.
For an axially symmetric shape with the axis of symmetry being the z axis, the Hamiltonian is = + (+) ( ). Here m is the mass of the nucleon, N is the total number of harmonic oscillator quanta in the spherical basis, is the orbital angular momentum operator, is its square (with eigenvalues (+)), = (/) (+) is the average value of over the N shell, and s is the intrinsic spin.
A model of an atomic nucleus showing it as a compact bundle of protons (red) and neutrons (blue), the two types of nucleons.In this diagram, protons and neutrons look like little balls stuck together, but an actual nucleus (as understood by modern nuclear physics) cannot be explained like this, but only by using quantum mechanics.
By 1920 he had accepted that the hydrogen nucleus is a distinct particle within the atom and named it proton. Neutrons have no electrical charge and have a mass of 1.6749 × 10 −27 kg. [37] [38] Neutrons are the heaviest of the three constituent particles, but their mass can be reduced by the nuclear binding energy.
The nucleoplasm suspends structures within the nucleus that are not membrane-bound and is responsible for maintaining the shape of the nucleus. [2] The structures suspended in the nucleoplasm include chromosomes , various proteins , nuclear bodies , the nucleolus , nucleoporins , nucleotides , and nuclear speckles .
Additionally, a nuclear body subtype is a clastosome suggested to be a site of protein degradation. [ 4 ] While biomolecular condensate is a term often used interchangeably with nuclear bodies, the term "condensates" implies the thermodynamic properties of the body are known. [ 5 ]