| omputational material simulation is becoming more and more important as a branch of material science. Depending on the scale of the systems, there are many simulation methods, i.e. first-principles calculation (or ab-initio), molecular dynamics, mesoscale methods and continuum methods. Among them, first-principles calculation, which involves density functional theory (DFT) and based on quantum mechanics, has become to be a reliable tool in condensed matter physics.;DFT is a single-electron approximation in solving the many-body problems. Intrinsically speaking, both DFT and ab-initio belong to the first-principles calculation since the theoretical background of ab-initio is Hartree-Fock (HF) approximation and both are aimed at solving the Schrodinger equation of the many-body system using the self-consistent field (SCF) method and calculating the ground state properties. The difference is that DFT introduces parameters either from experiments or from other molecular dynamic (MD) calculations to approximate the expressions of the exchange-correlation terms. The exchange term is accurately calculated but the correlation term is neglected in HF.;In this dissertation, DFT based first-principles calculations were performed for all the novel materials and interesting materials introduced. Specifically, the DFT theory together with the rationale behind related properties (e.g. electronic, optical, defect, thermoelectric, magnetic) are introduced in Chapter 2.;Starting from Chapter 3 to Chapter 5, several representative materials were studied. In particular, a new semiconducting oxytelluride, Ba2TeO is studied in Chapter 3. Our calculations indicate a direct semiconducting character with a band gap value of 2.43 eV, which agrees well with the optical experiment (∼ 2.93 eV). Moreover, the optical and defects properties of Ba2TeO are also systematically investigated with a view to understanding its potential as an optoelectronic or transparent conducting material. We find relatively modest band masses for both electrons and holes suggesting applications. Optical properties show a infrared-red absorption when doped. This could potentially be useful for combining wavelength filtering and transparent conducting functions. Furthermore, our defect calculations show that Ba 2TeO is intrinsically p-type conducting under Ba-poor condition. However, the spontaneous formation of the donor defects may constrain the p-type transport properties and would need to be addressed to enable applications.;Chapter 4 mainly devotes to the thermoelectric properties of the famous phase change material, Ge2Sb2Te5 (GST). GST has been used in data storage for more than a decade because of their fast phase switching between metastable crystalline (cubic) and amorphous phases. It also exhibits interesting thermoelectric properties, and we did a systematic study on the two crystalline phases (hexagonal and cubic) and the amorphous phase. We found a high Seebeck coefficient with a broad doping concentrations for both n-type and p-type, at and below room temperatures (300 K) for both the cubic and amorphous phases. This finding will be of crucial interests in further understand the thermoelectric properties experimentally and find device applications in the ultimate goal.;Several magnetic materials that involve lanthanide elements are reported in Chapter 5. First of all, the electronic and magnetic properties of the BaLn2O4 (Ln = La-Lu, Y) family compound are studied. The series has been synthesized for the first time in single crystalline form, using a molten metal flux. They crystallize in the CaV 2O4 structure type with primitive orthorhombic symmetry (space group Pnma,... |