The high-temperature solid phase method is one of the commonly used methods in the synthesis of inorganic materials. This method has the advantages of simple operation process, easy control of reaction conditions, and low production cost. Therefore, it is widely used in the synthesis of various inorganic materials in industrial production. However, the disadvantages of this method are uneven composition, easy agglomeration of particles and wide distribution of particle diameter. The synthesis of Na
xMnO
2 by the high-temperature solid phase method is mainly to mix the sodium source and the manganese source uniformly according to a certain stoichiometric ratio, and the mixture undergoes a chemical reaction under high temperature conditions. Sodium-to-manganese ratio, roasting temperature and roasting time have a certain influence on the deintercalation process of Na
+ in the material. With the increase of sodium-to-manganese ratio, roasting temperature and roasting time, the solid electrolyte interphase (SEI) film diffusion activation energy W and interface of the synthesized material both the electrochemical reaction activation energy Δ
G and the solid phase diffusion activation energy
Ea show a trend of first decreasing and then increasing. Among them, the ratio of sodium to manganese has a small effect on the activation energy
F of the diffusion of the synthetic material SEI membrane, and has a greater effect on the activation energy
Ea of sodium ion diffusion in the solid phase, while the baking temperature and baking time have a greater effect on the activation energy
Ea of sodium ion diffusion in the solid phase. The sol-gel method and the molten salt method can overcome this shortcoming, because the advantages of this method include the small particle size of the synthesized cathode material, the size can be from nanometer to micron, and the shape can be silk, thin and spherical, thus improving the performance. There are also some problems with sol-gel method, the raw materials used are expensive, some are organic, harmful to health, the reaction takes a long time, and many gasses and organic compounds will overflow during the drying process. Microwave is the electromagnetic wave between 300 MHz and 300 GHz. Its advantages are non-direct heating in order to avoid overheating on the surface of the material. It can be applied to various heating equipment such as domestic microwave ovens. But the amounts of materials synthesized by microwave method is small, and the instrument is more expensive than other methods. The advantages of electrospinning are simple and easy to operate. However, it is difficult to separate nanofibers from each other by electrospinning, and the current production of electrospinning machines is very low. When burning organic matter, it releases a lot of heat to reduce the final burning temperature. At the same time, when burning organic matter, it produces a lot of gas to reduce the agglomeration of products and the smaller particles of products. The products synthesized by this method have uniform particle size and composition, and the low sample synthesis temperature reduces the energy consumption. However, this method has small treatment amount and increases the cost after adding organic substances. For example, nanometer particles with higher crystallinity have better performance, and cathode materials that are intercalation/deintercalation along a given direction have relatively better performance [
74]. The prepared electrode has good electrochemical performance. After 50 mA/g cycles in the range of 3.5–4.25 V, the initial discharge capacity is 145.5 mAh/g, and the capacity retention rate is 86.1%. After 50 cycles of 3.5–4.5 V, the discharge capacity reached 177.9 mAh/g, and the capacity retention rate was 85.6%. Zhou
et al. had synthesized the Na
xMnO
2 (
x = 0.66) three-dimensional tunnel-type cathode materials by chemical pretreatment with sodium biphenyl reagent. The initial charge capacity of cathode material obtained by this method is excellent [
75]. In addition, increasing the surface area and shortening the diffusion length make the application of nanoparticles in rechargeable batteries very attractive. One of the foremost effective ways to boost power density is to reduce the cathode particles as much as possible. The nanoscale powder is calcined at 600 ℃ for six hours and then washed with a large quantity of water to get rid of impurities. Under the same cycle conditions, the capacity of the cathode material obtained is increased to 100 mAh/g. When cathode material is the nanoscale influence of anisotropic characteristics of the electronic structure, this can be achieved by electron energy loss spectroscopy (EELS) to prove that the spectra can be revealing the reduction of element valence state near electrode and metal oxide layer stack direction, which can reveal the cathode material anisotropy and explain the advantage of nanometer size to improve the electrochemical performance [
76–
78]. When the particle morphology is needle-like or rod-like, the cycling performance of the cathode material is better. This special morphology is characterized by a large surface area and volume, and it can still show good cycling performance when larger discharge current is generated. Excess sodium content plays a vital role in the formation of nanorods, which grow perpendicular to the grain direction. Due to the release of energy by Na
+ of deintercalation, the current and voltage characteristics of the battery formed by nanorods show six voltage platforms. Many mathematical models can be used to simulate and fit experimental data in NMO, which is thermodynamically consistent with the characteristics of a simple system [
52,
79–
81].