Crystals of undoped and laser active Yb-doped NaT
1-xYb
x(WO
4)
2, T = Y (
x = 0, 0.1), Lu (
x = 0, 0.1,0.5), have been grown by the Czochralski (T = Y) or the top seeded solution growth (T = Lu) methods,depending on their melting nature, congruent or incongruent, respectively. From single-crystal X-raydiffraction analysis, the noncentrosymmetric tetragonal space group
I has been established for all ofthem. The Na
+/T
3+ (Yb
3+) occupancy factors for 2
b and 2
d sites show the lowest departure from therandom distribution, and thus the largest cationic disorder, in NaLu
0.9Yb
0.1(WO
4)
2, namely 0.43/0.57 and0.56/0.44, respectively. The thermal expansion tensors have been determined up to 973 K for the fivecrystals; NaLu(WO
4)
2 with
1=8.2(2) × 10
-6 K
-1 and
3= 17.3(4) × 10
-6 K
-1 coefficients has loweranisotropy than NaY(WO
4)
2 with
1= 8.4(2) × 10
-6 K
-1 and
3=18.5(4) × 10
-6 K
-1 coefficients. Fromthe point of view of the thermal steadiness, the evaluation of the Yb-doped laser layer/optically inertsubstrate lattice mismatch, about 2.5 times higher for NaY
0.9Yb
0.1(WO
4)
2/NY(WO
4)
2 than for NaLu
0.9Yb
0.1(WO
4)
2/NaLu(WO
4)
2 at temperatures up to 973 K, points out to this last set as the best simplecombination of tetragonal Na-based double tungstates intended for epitaxially grown laser activecomposites. An approach to minimize the laser layer/substrate lattice mismatch derived of the Ybincorporation in the layer is developed through the tailoring of the composition of its optically inertsubstrate.