The growth of potassium titanate fibers was studied by a new growth technique called “slow-cooling calcination method”. By this method, a specific composition is incongruently melted into a solid phase and liquid phase, and then is slowly cooled to a temperature region below the incongruent-melting temperature. Fibrous crystals are grown by a incongruent melt-association reaction between the solid and liquid phases during the cooling precess. In the system K
2Ti
2O
5-K
2Ti
6O
13, a stating material having the
n value between 2<
n<6 in the K
2O⋅
nTiO
2 formula was incongruently melted into a liquid phase and K
2Ti
6O
13 solid phase at above the incongruent-melting temperature (1114°C±15°C) of K
2Ti
4O
9, and then was slowly cooled to a temperature region below 1114°C. During the slow-cooling process, the incongruently melted K
2Ti
6O
13 solid phase and liquid phase again reacted to associate. This association reaction plays a very important role to grow potassium titanate fibers, especially K
2Ti
4O
9 fibers. Relatively long fibers were grown in the mixed fibers of K
2Ti
4O
9 and K
2Ti
2O
5 when a starting material of K
2O⋅2.8TiO
2 composition was calcined at 1150°C for 4h, and then was slowly cooled to 950°C with a rate of 16°C/h, and was followed by quenching to room temperature. Consequently, the K
2Ti
4O
9 fibers in them were grown by an incongruent melt-association reaction, and the K
2Ti
2O
5 fibers were crystallized from the liquid phase during the quenching process. The growth of K
2Ti
4O
9 fibers was mainly depended upon three factors of starting composition, calcination temperature and cooling rate, and furthermore was also promoted by repeating the incongruent melt-association reaction.
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