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The effects of various point defects and lattice distortions on thestructural, electronic, and magnetic properties of Co$_2$MnAl alloy areinvestigated using density functional theory calculations. For the pointdefects, six types of binary antisites, three types of ternary antisites, andthree kinds of vacancies have been simulated with different disorder degrees,up to a maximum of 12.50%. For the lattice distortions, cubic strain within-10% $\leq$$\Delta{V/V_0}$$\leq$ 10% (corresponding to 5.50\r{A} $\leq$ a$\leq$5.88\r{A}) and tetragonal distortions with0.5$\leq$$\textit{c/a}$$\leq$1.5 at three different unit-cell volumes -$\textit{V}_0$ and ($\textit{V}_0$$\pm5$%$\textit{V}_0$) have been considered.The Co$_{Al}$ and Mn$_{Al}$ binary antisite disordered structures (namely,Co$_{2.0625}$MnAl$_{0.9375}$, Co$_{2.125}$MnAl$_{0.875}$,Co$_2$Mn$_{1.0625}$Al$_{0.9375}$ and Co$_2$Mn$_{1.125}$Al$_{0.875}$) and(Co$_{Al}$+Mn$_{Al}$) ternary antisite disordered structure(Co$_{2.0625}$Mn$_{1.0625}$Al$_{0.875}$) exhibit perfect half-metallicity. Therest of the antisite disorders have a marginal effect on the half-metallicproperties of Co$_2$MnAl, along with high spin polarization ($\textit{P}$$\geq$ 70%) and nearly same magnetization ($\textit{M$_s$}$) as that for idealstructure. Conversely, the vacancy defects significantly affect the electronicand magnetic properties. The cubic strained structures exhibit high$\textit{P}$ and constant $\textit{M$_s$}$. Under negative strain within -10%$\leq$$\Delta{V/V_0}$$\leq$ -7% (for 5.50\r{A} $\leq$ a $\leq$ 5.58\r{A}), thestrained structures have perfect half-metallicity. On the other hand,tetragonal distortions lead to significant degradation in half-metallicbehavior, except for small distortion values $\Delta{c/a}$, irrespective oftheir volume.

Effect of Point Defects and Lattice Distortions on the Structural, Electronic, and Magnetic properties of Co$_2$MnAl Heusler alloy