The BiCu
2(P
1-xVx)O
6 system shows the appearance of
various phenomena that progressi
velychange as a function of the a
verage (P/V)O
4 groups size. Then, from
x = 0 to
x 0.7, a s
olid solutionexists with respect to the basic orthorhombic unit cell of BiCu
2PO
6. For greater
x values (0.7 <
x <0.96),structural modulations with incommensurate
q vector that slightly change
versus
x appear. The 4-D treatmentof single-crystal XRD data of the modulated phase corresponding to
x = 0.87 at 100 K (orthorhombic,
a =12.379(3)Å,
b = 5.2344(9) Å,
c = 7.8270(14) Å,
q = 0.268(3) b*, super space group:
Xbmm(0
0) s00,
Xstands for the nonprimiti
ve centering
vector (1/2,0,1/2,1/2),
R(obs)
overall = 5.27%,
R(obs)
fundamental = 4.48%,
R(obs)
satellite = 6.58%) has e
videnced strong positional modulated effects within the [BiCu
2O
2]
3+ ribbonswhile three XO
4 configurations compete along the
x4 fourth dimension. There is no P/V segregation along
x4 in good agreement with steric-only origins of the modulation. Finally for 0.96 <
x <1, two phases coexist,i.e., BiCu
2VO
6 (
X = 1) and a modulated phase of the pre
vious domain.The BiCu
2VO
6 crystal structureshows a unit cell tripling associated with monoclinic symmetry lowering. The VO
4 orientations between tworibbons proceed with respect to the interribbon distance. Then the full system shows flexible interactionsbetween modulated Bi/M/O-based ribbons and surrounding tetrahedral groups, depending on the a
verageXO
4 size. Furthermore, between two ribbons the Cu
2+ arrangement forms magnetically isolated zigzagcopper two-leg ladders. Our preliminary results show a spin-gap beha
vior likely due to the existence oftrue
S =
1/
2 Heisenberg two-leg ladders. Modulated compositions are gapless, in good agreement withband-broadening toward a continuum in the magnetic excitation spectrum. The continuous distribution ofCu-Cu distances along the rungs and legs of the ladders should be mainly responsible for this magneticchange.