The diameter of four different types of atoms are given below.

Atom A:1.35x10^-7 mm; Atom B:1.80x10^-7 mm; Atom C:6.00x10^-8 mm; Atom D:2.50x10^-9 mm

Rewritten in scientific notation with units in meters:

Atom A: 1.35x10^-10 m
Atom B: 1.80x10^-10 m
Atom C: 6.00x10^-11 m
Atom D: 2.50x10^-12 m

To compare the diameters of the four different types of atoms, we need to convert all the values to the same unit. Let's convert them to meters.

1. Atom A: 1.35 x 10^-7 mm = 1.35 x 10^-10 m
2. Atom B: 1.80 x 10^-7 mm = 1.80 x 10^-10 m
3. Atom C: 6.00 x 10^-8 mm = 6.00 x 10^-11 m
4. Atom D: 2.50 x 10^-9 mm = 2.50 x 10^-12 m

Now, we can compare the diameters:

1. Atom D has the smallest diameter: 2.50 x 10^-12 m
2. Atom C has the second smallest diameter: 6.00 x 10^-11 m
3. Atom A has the second largest diameter: 1.35 x 10^-10 m
4. Atom B has the largest diameter: 1.80 x 10^-10 m

Therefore, in increasing order of diameter, the atoms are D < C < A < B.