To identify the possible mechanism of coercivity (H c ) degradation of Nd-Fe-B sintered magnets, we study the roles of the exchange field acting on the 4f electrons in Nd ions and theoretically investigate how the variation of the exchange field affects the values of the magnetic anisotropy constants K 1 and K 2 . We find that, with decreasing exchange field strength, both values decrease as a result of the lower asphericity of the 4f electron cloud, indicating that the local anisotropy constants might become small around the grain boundaries where the exchange fields are decreased owing to the smaller coordination number.Nd-Fe-B sintered magnets [1][2][3] have the largest maximum energy product among the current magnets and have been widely used for magnetic devices such as voice coil motors in magnetic recording systems. Recently, because of the rapidly growing interest in electric vehicles, much effort has been made to suppress the degradation of the coercivity (H c ) of Nd-Fe-B magnets. However, from an industrial viewpoint, reduction in the usage of Dy is strongly desired, because Dy is a rare metal and the magnetization of the Nd-Fe-B magnets decreases by substituting Dy with Nd owing to the antiparallel coupling between Dy and Fe moments. Realizing Dy-free high-performance Nd-Fe-B magnets requires a further increase of H c in the Nd-Fe-B system by microstructure optimization, [4][5][6][7][8][9][10][11] and therefore, establishing the microscopic foundation for the coercivity mechanism is desired. From a theoretical viewpoint, many works [12][13][14][15][16] have focused on the change of magnetic anisotropy constants around the grain boundary surfaces as a result of the stresses, defects, and change of spatial symmetry. In addition, micromagnetic model calculations have shown that the surface c-plane anisotropy can drastically decrease the coercivity. 17) For these reasons, evaluation of the local anisotropy constants around the grain boundaries and determining their temperature dependence are important to investigate the degradation of the coercivity.With regard to the magnetic anisotropy of rare earth (RE) transition metal compounds, it is believed that the 4f electrons in RE ions are responsible for the main part of the magnetic anisotropy and that the crystalline electric field (CEF) acting on the 4f electrons dominates this property. 18) Under the assumption that the exchange field on the 4f electrons is strong enough, by using the CEF parameter A 0 2 , the leading anisotropy constant K 1 can be approximately described by K 1 = −3J(J −1)α r 2 A 0 2 N R , where α is the Stevens factor, J is the total angular momentum, r 2 is the average ofr 2 over the radial wave function of the 4f electrons, and N R is the density of RE ions. Note that the CEF parameter