Antiferromagnetism and ferromagnetism in layered<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:math>-CrSe<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow/><mml:mn>2</mml:mn></mml:msub></mml:math>with V and Ti replacements

We have studied the effect of substitution of Cr in metastable $1T$-CrSe${}_{2}$ by Ti and V on its structural and magnetic properties. The structural transitions observed between 165--180 K in the pure material are stomped by the doping. The pure compound has a magnetization corresponding to an antiferromagnetic (AF) ground state. On Ti substitution, we observe an increase of the lattice constants and a gradual passage towards a ferromagnetic state, while V replacement maintains AF order up to our highest doping, ${x}_{\text{V}}=0.5$. With our experimental results and the help of first-principles calculations, we construct the phase diagram of the system.