Spin-orbital

The spinorbital of a single Electron , for example, is a complex-valued function of four real variables: the three scalars used to define its position, and a fourth scalar, ''m_s'', which can be either +1/2 or −1/2: : $\chi(x, y, z, m_s)$ We can also write it more compactly as a function of a position vector $ec r=(x,y,z)$ and the quantum number ''m_s'': : $\chi(ec r, m_s)$ . For a general particle with spin ''s'', ''m_s'' can take values between −''s'' to ''s'' in integer steps. The electron has ''s''=1/2. A spinorbital is usually ''normalized,'' such that the probability of finding the particle anywhere in space with any spin is equal to 1:
	:<math>P(V,m S)	\int_{V}d^3ec r\\chi(ec r,m_s)^2</math>

	CATEGORIES ABOUT SPIN-ORBITAL

	atomic physics

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