37  US 6,500,796 Bl  38  The corresponding amine oxide of the above ethoxylated  PEI can also be prepared following synthesis Example 4.  Synthesis Example 6  9.7% Quaternization of PEI 1200 E7  -continued  To a 500 ml erlenmeyer flask equipped with a magnetic  stirring bar is added poly( ethyleneimine ), MW 1200 ethoxy- lated to a degree of 7 (248.4 g, 0.707 mol nitrogen, prepared  as in Synthesis Example 5) and acetonitrile (Baker, 200 mL).  Dimethyl sulfate (Aldrich, 8.48 g, 0.067 mol) is added all at  once to the rapidly stirring solution, which is then stoppered  and stirred at room temperature overnight. The acetonitrile  is evaporated on the rotary evaporator at -60°  C., followed  by a Kugelrohr apparatus (Aldrich) at -80°  C. to afford -220  g of the desired material as a dark brown viscous liquid. A  $^{13}$C-NMR (D$_{2}$ 0)  spectrum shows the absence of a peak at  -58 ppm corresponding to dimethyl sulfate.  A  $^{1}$H-NMR  (D$_{2}$0)  spectrum shows the partial shifting of the peak at 2.5  ppm (methylenes attached to unquaternized nitrogens) to  -3.0 ppm.  4.7% Oxidation of 9.5% Quaternized PEI 1200 E7  To a 500 ml erlenmeyer flask equipped with a magnetic  stirring bar is added poly(ethyleneimine), MW 1200 which  has been ethoxylated to a degree of 7, and -9.5% quater- nized with dimethyl sulfate (144 g, -0.37 mol oxidizeable  nitrogen, prepared as in Example 6), hydrogen peroxide  (Aldrich, 35.4 g of a 50 wt% solution in water, 0.52 mol),  and water (100 g). The flask is stoppered, and after an initial  exotherm the solution is stirred at room temperature over- night.  A  $^{1}$H-NMR (D$_{2}$ 0)  spectrum shows the total shifting  of the methylene peaks at 2.5-3.0 ppm to -3.5 ppm. To the  solution is added just enough sodium bisulfite as a 40%  water solution to bring the residual peroxide level down to  1-5 ppm. The sodium sulfate which forms causes an aque- ous phase to separate which contains salts, but little or no  organics. The aqueous salt phase is removed and the desired  oxidized polyethyleneimine derivative is obtained and  stored as a 52% solution in water.  Synthesis Example 7  The following compositions for use as dryer-added sheets  are in accordance with the invention  The following compositions are in accordance with the  present invention  The following detergent formulations, are in accordance  with the present invention:  EXAMPLE  3  EXAMPLE 1  T  u  V  w  X  y  z  AA  BB  DOEQA  40  40  25  DHEQA  20  20  DTDMAMS  20  20  12  60  SDASA  30  30  30  20  20  30  30  20  Glycosperse S-20  10  10  Glycerol  20  20  10  Monostearate  Clay  4  4  4  3  3  4  4  4  Perfume  0.7 0.7  1.1  0.7  0.7  1.6  1.6  2.6  1.4  PEI 1800 E4  5  PEI 1200 El  4  4  2.2  2.2  PEI 1800 E3  2  2  5  7.0  Dye fix 1  2  2  5  4  4  2.2  2.2  5  3  HEDP  0.2  0.5  0.7  BPT  0.2  0.9  0.2  Glycolic  0.2  0.2  Polycarboxylic  0.2  0.4  Stearic acid to balance  Component  A  B  C  D  E  F  G  H  DEQA  2.6  2.9  18.0  19.0  19.0  TAE25  1.0  Fatty acid  0.3  1.0  Hydrochloride  0.02  0.02  0.02  0.02  0.02  acid  PEG  0.6  0.6  0.6  Perfume  1.0  1.0  1.0  1.0  1.0  0.1 0.1 0.1  Silicone  0.01  0.01  0.01  0.01  0.01  antifoam  PEI 1200 El  3  3  3  3  15  10  PEI 1200 E2  3  10  Dye fix 1  10  Dye fix 2  2  2  2  HEDP  0.2  0.2  0.4 - 0.8  Glycolic  0.2  0.5  - 0.4  Poly- 0.5  0.4 - carboxylate  Electrolyte  600  600  1200  (ppm)  Dye (ppm)  10  10  50  50  50  Water and minors to balance to 100  Component  J  K  L  M  DEQA  2.6  19.0  Fatty acid  0.3  Hydrochloride acid  0.02  0.02  PEG  0.6  Perfume  1.0  1.0  0.1  0.1  0.2  Silicone antifoam  0.01  0.01  PEI 1200 El  3  3  15  10  PEI 1200 E4  10  Dye fix 1  2.5  Dye fix 2  2  PET  0.2  0.2  0.4  0.8  0.5  Polycarboxylate  0.4  Electrolyte (ppm)  600  Dye (ppm)  10  50  Water and minors to balance to 100  Component  N  0  p  Q  R  s  DTDMAC  15  DEQA  2.6  19.0  2.6  19.0  TAE25  0.3  0.3  Fatty acid  0.3  0.3  Hydrochloride  0.02  0.02  0.02  0.02  0.02  acid  PEG  0.6  0.6  0.6  Perfume  1.0  1.0  0.1  1.0  1.0  1.0  Silicone antifoam  0.01  0.01  0.01  0.01  0.01  PEI 1800 El  3  3  10  3  3  3  HEDP  0.2  0.2  PET  0.2  0.2  Glycolic  0.2  polycarboxylic  0.2  Dye fix 1  10  Dye fix 2  2  2  2  2  2  Electrolyte (ppm)  600  600  600  Dye (ppm)  10  50  50  10  50  Water and minors to balance to 100  EXAMPLE 2 